What can a network tell us?

Have you wondered how information spreads on Twitter/X, how Instagram influencers are identified, and how different actors in an online community collaborate or confront one and another? There are the sorts of questions that can be best answered using social network analysis (SNA) or broadly network analysis. In network analysis of internet communities, we visualize and quantify the structure of social relationships and information flows.

In this tutorial, we will work with a pre-generated network from OSOME Network Tool[note: the tool has been depreciated as of spring 2025].

Here, you can see a retweet/repost network based on #Ukraine from July 9, 2022 to August 8, 2022. In this network, a pair of users represents a repost relationship. That is, two users are connected to one and another if one reposts or is reposted by the other. For simplicity, the graph below only shows users who at least twice reposted or were reposted by others.

Guess how the size and color of a node is determined.

Edgelist

Where do we begin to visualize a network? It all starts with an edgelist. The table below shows a portion of the edgelist.

An edgelist shows all edges in a network along with attributes of the edges. An edge is a pair of relationship between two nodes (in this case, users). An edge can be directed: for example, A reposts B will be expressed as User A → User B, whereas B reposts A is expressed as User B → User A. But, in some cases, an edge is undirected. Think about your Facebook relationships. If user A is a friend of user B. By default, user B is also connected to user A.

In the edgelist below. The column from_label lists the Twitter/X users who reposted. The column to_label shows those users who were on the receiving end of the reposts (i.e., users who were reposted by others). The weight column is edge weight, referring to the number of reposting that occurred between the same pair of users.

Nodelist

In our example, a node is a Twitter/X user. Below is a list of nodes, with their id, labels, and attributes (e.g., size, color).

R Libraries

We will try some of the basics using two libraries igraph and VisNetwork. igraph comes with some in-built functions for visualization. VisNetwork takes a step further by making it prettier and interactive.

Import an existing network file

There are several common file types that contain network information. The file types include graphml, gml or just a regular dataframe. Below, we import an external .gml file into R.

library(igraph)
nx <- read_graph("RTNetwork_#ukraine.gml",format = c("gml"))
nx
## IGRAPH f4f8fe9 D-W- 16260 44947 -- 
## + attr: id (v/n), label (v/c), type (e/c), weight (e/n), tweetid (e/c)
## + edges from f4f8fe9:
##  [1]  1->10441  1-> 1998  1-> 3816  1->12068  1-> 7606  1->13186  1-> 6565
##  [8]  1-> 6447  1-> 5034  1-> 1348  1-> 4391  1-> 7491  1-> 7681  1->12611
## [15]  1-> 1891  1->12796  1-> 6688  2-> 6447  2->12740  2->13859  3-> 9477
## [22]  3-> 6447  4->  214  4-> 9032  4->  822  4-> 6230  4-> 4876  4->11824
## [29]  4-> 4607  4->  527  4->10465  4-> 1413  4-> 1712  4-> 8304  4-> 6559
## [36]  5-> 6466  5->  268  5->14636  5-> 1481  6-> 1628  6->10173  7-> 3816
## [43]  7->11283  7-> 6447  7->12796  7-> 9757  7->11786  7->11647  7->10711
## [50]  7->  252  9->14806  9-> 5139 10-> 5179 10-> 6076 10-> 3313 11-> 9904
## + ... omitted several edges

Let’s just take a look at some network-level indicators.

Size matters!

Run the code below to get a count of edges and nodes in rtnet and mtnet.

vcount(nx) #this shows the number of nodes/vertices
## [1] 16260
ecount(nx) #this shows the number of edges 
## [1] 44947

Dense or sparse?

A densely connected network (high density score) is a type of network in which many users are interconnected, whereas a sparse network (low density) is a network in which only a few are interconnected. Two contrasting examples of dense and sparse networks are a network of people in a family gathering in which almost everyone knows everyone else, and a network of people sitting on a public bus.

Is it a dense network?

edge_density(nx, loops = FALSE) 
## [1] 0.0001700146

Centralized or decentralized?

Think of centralization as a question of inequality and who is in control. In a centralized network, a small number of nodes (users) control the information flow. In a retweet network specifically, it means that only a handful of users retweet or are retweeted by others. Centralized and decentralized networks have different ramification for the diffusion of ideas, norms, and effective mobilization.

by setting mode = c(“in”), we calculate the centralization score based on the extent to which users are reposted by others (as opposed to reposting others).

So, is it centralized?

#Calculate centralization
centr_degree(nx, mode = c("in"), loops = TRUE,normalized = TRUE)$centralization
## [1] 0.1575273

Birds of a feathre flock together?

Have you heard of the saying birds of a feather flock together? In a network, nodes tend to cluster together based on some shared attributes. For instance, Twitter/X users may repost mostly content they agree with. Hence, this tendency will result in a cluster of nodes based on similar mindsets or opinions. To what extent is a network reflecting this pattern of clustering can be quantified by using Modularity score. A higher number means a more divided network.

wtc <- cluster_walktrap(nx)
modularity(wtc)
## [1] 0.519009

Is it reciprocal?

Reciprocity is calculated as the proportion of reciprocated ties. In the repost network, for example, reciprocity shows the extent to which a pair of users have mutually reposted one and another.

Which form of Twitter interactions (retweet vs. mention) is more reciprocal?

reciprocity(nx)
## [1] 0.007252987

Look for influencers

I have introduced previously a range of indicators to quantify a network. Such indicators are only useful when it involves a comparison of different networks. When analyzing one single network, we are more interested in node-level indicators.

A common task in network analysis is identifying influencers? An influencer could mean different things to different people. Here we try a couple of dfferent metrics.

indegree centrality measures the number of incoming connections a user has received. A high indegree in the repost network means that the user is frequently reposted by others. Do you agree that the most reposted users are influencers? And why?

outdegree centrality measures the number of outgoing connections a user has. A high outdegree in the repost network means that the user frequently reposts other users. What would you call such users, mobilizers?

Betweenness centrality measures the number of times a node lies on the shortest path between other nodes. We use this metric to find users who act as ‘bridges’ between nodes in a network and who influence the information flow around a network.

V(nx)$indegree <- degree(nx,mode = "in")
V(nx)$outdegree <- degree(nx,mode = "out")
V(nx)$bt <- betweenness(nx,directed=T, weights=NA)

In the code below, we calculate the aforementioned centrality measures and then add the the centrality measures as node attributes, which will be included as columns in the nodelist. Below is a preview of the nodelist with centrality scores added.

nodelist1 <- vertex_attr(nx)
nodelist1 <- as.data.frame(nodelist1)
datatable(nodelist1, options = list(pageLength = 10)) 

Look for clusters/cliques

We use community detection algorithm to cluster users into different groups (we call such groups clusters or cliques). Users in the same cluster are more connected with one and another than with users outside of the cluster. By using the community detection method, we can reveal important divisions and fragmentation that exist due to different opinions, values, and user characteristics.

Some community detection algorithms require intensive computating. It may take a long time to produce an output.

k-core

Creating k-core is fast and easy. We can use k-core to identify a small subset of users who are the most interconnected. In a k-core, each node has at least k connections with everyone else. Below we extract a 2-core (named twocore) in which each user has at least 2 edges with any other users in the core.

kcore <- coreness(nx, mode="all") 
twocore <- induced_subgraph(nx, kcore>=2)

cluster_walktrap

This is one of the community detection algorithm that is computationally intensive. Be patient when it is crunching numbers for you.

The code above creates an object call ceb. It contains the information about which cluster each node belongs to. We can run the code below to see the cluster ID of the first 10 nodes.

ceb <- cluster_walktrap(nx) 

Visualize a network and make it pretty!

Before you visualize a network, here are the decisions you need to make:

In our example below, we color nodes based on the clusters they belong to. We set the node size based on PageRank score (the famous scoring technique used by Google), with central nodes represented by bigger nodes. And we don’t want to show all nodes as that will create a messy network; Instead, we would show only the most interconnected subset (using k-core).

In the previous steps, we know the codes for calculating node and network-level metrics (e.g., centrality). Here, we will pass the metrics to nodes and store them as node attributes. This will allows the visualization code to pick up the attributes and use them for sizing and coloring.

In the code below, we add PageRank score (used for node size) and the cluster id (used for assigning color). We use V(rt) to access node attributes and E(rt) to access edge attributes. Since we visualize only the 3-core. We then create a subset of the network.

library(igraph)
library(visNetwork)
library(scales)

V(nx)$size <- betweenness(nx,directed=T, weights=NA)/1000  #set node size by Betweenness centrality scores.

wc <- cluster_walktrap(nx)
V(nx)$color <- membership(wc) # set color by subgroup id
V(nx)$color
##     [1]   4   4   4   8   6   5   4   6   3  31   4 357   8   6   4  31 426   8
##    [19] 361   6 532   4   6   4   4   4   8   4 216   6   4 443   4 126   4  22
##    [37]   6   4   4 468  12   3 622  14   4   4   4   8   4   4   6 374 578   4
##    [55] 810   3   4   5 274   4   9   6   5   8   4   8   6 766   4  40 186  82
##    [73]   4  21   2   4 650   5   4   4   4   9   9   3   4 391   6   8   4 826
##    [91]   8  68   4 230   6   4 282 713   4   4   3  25   8  67   6   3   4 200
##   [109]   3 595   8 508  87  31 681   4   4   4 792 674   8   5   3   8   4   8
##   [127]   3   4   6   4  41  46   4   4  31   5   9   4   4   9   3   4   8 787
##   [145] 122   4   3   4   5   3   3   4   4   4   8   3   4   4   4   4  72   4
##   [163]   4   4  31   4   5 579   4   6 504   8   4  19 254 113 182   6   4   4
##   [181]   4   3   4   4   4   8   4 238   6  31   4 493   4   4   4   4   4   4
##   [199]   4   8   4 761   4 768  31  30 236 350  33   4   4   6   4   8 286   4
##   [217]  98   4 314  24   4   4   4 454  31 199  60 371   9 214   4   4 551   4
##   [235]   4 142   3   3 830 595   5   4 175   4 352   5 598 434   3 124 409   4
##   [253]   3   9  76 179   4   4   4   4 453   4 112 214 129   4   9 104 715   4
##   [271] 304  93   4   4   4 161 712   3 593 256   6 819   3  77   4 371  31 462
##   [289]   9   4   3   3   4 266   8   4   8 844   6 695   4   8   4 168   4   3
##   [307] 259  87   9   4   4  60  41   4   5   4   4 433  41   9  95   4   4   4
##   [325] 130   4   4 285   3   4   3   3  26   4  84  47 506  39   4   4   4   4
##   [343]   4   5   4  36   8  31   4 445   4   4 479   4   4 641   4  90   4   4
##   [361]   4  31   4  34 834   8   4 610  31   4   8 411   4   3 725   6 261   4
##   [379] 633   8   6   4   4   4  21   4   3   4   3   4 203   4   6   5   5  16
##   [397]   3 236 499 159 173   4  31 176  78  31   6   4   4 747   4  15   4  41
##   [415]   4   4   4 557 753 157 562  49   4   5   4  40 167   4  31   4 393   4
##   [433]   8   4   3   4   4   4   4   4   8   4   4 242 266   8   4   4 352   4
##   [451]  39   4   3   4   4   3   4 282   4  11   5   4   4   8  13 743   4   4
##   [469]   4   4   4   6   4  20   4   4   4 549   3 795  23   5   4   4   4   4
##   [487] 145   8 533   4 598   8 741   7   3 108   4   5  98   4 586   4   6   5
##   [505]   4 811   4   3   4   8  80 359   4   4   4   4   4 600 630   4  68   4
##   [523]   4   4   5  28   8 123   4   9   5   4 790 121   4 136   9   4   4 355
##   [541]  31   4   3   4 304 353 654   8   4   4   3   4   8   4 864   3   6 556
##   [559]   4   4   6 189   9   5   4 179   4   9   6   3   4  53   6   3   6  81
##   [577]   4   4  77   4   4   4   4   8   8   3   4  55   8   4 642   4 557 604
##   [595]   4   4   4   4 313   4 236   4   8   5   9   4   4   4   3 459 717 598
##   [613]   4   3  19   8   4   8   8   4   4 196   3   4   4  48  31   4   4  65
##   [631]   4   3   4   6   6   4   4 467   8   3   4   4  38   4   3   4   4   4
##   [649]   4 812   4   4   4   6   4 180 639   4   7 352   4 127   8  31   6   4
##   [667]   4   9  54   3   5   4  31   4   3   8   4 473   4   5   4   4   4   4
##   [685]  99 516   4   4   4 606   4   3  71   8   4   4  26   4   6 399   5  31
##   [703]   7 820   4   8   3   4  48 761 759 557   8   4  49   1   4   9 437   4
##   [721]   4 557   9   9 103 845   3   6 597   4   4  68 472 140   4   4 578   4
##   [739]   4 584 678   4  52   4   4   3   5  46 518 413   3   8   4   6   5 579
##   [757]   4   8   4   4   4 142   8   4   3   4 700 631   4   4   3   3   4   4
##   [775] 222 200 375   4   4 534   8  31  31 163   4   4 153  31   4   8   4 412
##   [793] 629   6   4  84 494  31  87   4   4 460   3 221   3   2   4   8   4 670
##   [811]   9   4 220   3 505   4   4  30  24 370   5   4   5   4   8   8   8 334
##   [829]   8   4 500 664   3   6   4 121   3 397 115 728   3   6   4  24   5   4
##   [847] 322   4   1  31   4   9   4   5 585 438   4   9   4   6   4  13   4  31
##   [865]   4   4   5 600  38   4   3   4   4   4   6   4   4   4   4   4   4   4
##   [883]   4   4   4   4   3   4   4   4   4   9   4   4   8  63   4   4   9   4
##   [901]   4   4   4   4 308   6   4   5   6   8   4   4   4   8   6   4   4   4
##   [919]   8   3   4   4   3   4   6   4   4   4   4 176 146   4   9 485   8 888
##   [937]   8 161   4   4   4   3   4  24  72   6  41   8   4   9   4   6  31   4
##   [955]   4 353 191   6   3   4   4   4   9 110  24  55   5   4   3   4  53   4
##   [973]   4   3 185 789   4  31   4   6 662   4   4   4   4   4   6   4   4   4
##   [991]   4  62   3 886   3   4   4   2 394 557   3   8 492   4  44 290   4 311
##  [1009]   9   4  27   4  14  31  45   4   4   4  66   4   4   4   4 304   6   9
##  [1027] 557   4   5  41 801   4 653   4   4   4   4   4   4 209   4   4   4   4
##  [1045] 807 806  96   4 804   4   3   6   6   3   4   4   4   6   4   5   4 128
##  [1063]   4   8  31   5   5   4   4 849  40 322  28   4   4   3   4   4   4 570
##  [1081]   3 615   4  31   6   4   4   4   5   9   5  31   3   4   4 557   4   4
##  [1099] 784  74   3 652   5   8   8   4   4   4 537   6   4   4   4 292   5   4
##  [1117]   4   3   4   4  92   4   4   4   3   3 355   4   8   3   4  31   4   8
##  [1135]   6   8  31   6   9   4  13   8   4   4 803   1   8   4   8 204   4   4
##  [1153]  31 291   4   3   8   4   4 444   4   4   4   6   4  31   8   4  12   6
##  [1171]   3   4 335   4   4 311   4   4   4   8   5   3   4   4   3   5 112  52
##  [1189]   3 195 658   4  31 143  41   8   4 183  28   6   4 172 302   8 670   4
##  [1207]   4   8   4  24  32   9 259   4   6   4   6   4   4   4   3   8   8 538
##  [1225] 634   4  65   3  12   8   4   4  61   4   9   4   8   4 319   5  31  53
##  [1243]  94   4   4   8  31   4   3   5   4   6   4 416   4   4 605   4   4   4
##  [1261]   9   8   4 442 216 724   3   4  21   9   6   6   7   8  31  52   4   4
##  [1279] 304 707   3   3   6   8   4  31 337 553   6   5   9   3   4  21 220 376
##  [1297] 702 851   9  14   8   4   4   8 305   4   5   3   4   4   4   4 700   3
##  [1315]   5  31   8 177   4  84   4   3   3   8   8   4 204   3   4   3   5   4
##  [1333]   4   4   3   4   4   4  53   8   4  31   4   8   4   4 444   4  70   4
##  [1351]   8   4   4 727  41 833   4   3   6 496 557  31   4   5   4  83   9  64
##  [1369] 354   4 557   4   6 627   4   4   4   4  31  31   4   4   8   4   7   6
##  [1387]   4   3 230   4   4 515   4 162   4   3   4   3   4   4   4   4   4   3
##  [1405]   4   5   5 709   4  22   6 211   4   4   4   9 680   4  32   4 865  28
##  [1423]   4 531   4   4 126   8   8   6   4   8   3   3  31 165   4   9 676 838
##  [1441]  31   4   4   4   3 813   4   4 627  21 658 403 717   8   6 675   4   8
##  [1459] 691   4   3 586   4   4  31 529   4   6   3   8  31  68   4   4 509  13
##  [1477]  37   6   4 511   6 280 672   4   8   4   8   8  31   4 777   8   5   6
##  [1495]   4   4   3   4 142   3   8   3   6   4   4   4   4   6   6   3   3   4
##  [1513] 593 137   4  24   4   4 685   4 255   4   4   9   5  31   4   4   4   9
##  [1531]   5   4   4  31   5  26 555   4   4   4   4 269   9   4   4 589 481   3
##  [1549]  55 557  91   8   4   4 665   4   3   8   4  68   4   4   4   5   4 115
##  [1567]   4 267 609   4  13   4  64 832   4   4   4 567   4 657   4  96   4   4
##  [1585] 170   4   5   4   4   3   6   4   4   4   8   4   8   5  10  31 733   4
##  [1603]  20 737 605 730 188   4   9 732   4   4   4   4   8   4  28 735   8   9
##  [1621] 315 393 235   6   4 551   4   5   4   4   8  71 466  31   4   4   4  28
##  [1639]  59   4  43  43   4  36 738   4   4 522   4   3   8   4 632 325   4   4
##  [1657]  62   4   4   4   4   4   4   9   4   4   4  24   4 764   3 377   3   4
##  [1675]  31   4   4   4 599   4   8  63   5   9  41 625 104  31 404   5   5   3
##  [1693]  51 425   9 780   5   3   3 465   4   4   4   3   4   3   3   8  31   4
##  [1711]   4   8   4 202   5   5   4   5   4   4   8   4 360  31   4  31 586   4
##  [1729] 228  24   3 774  17   8   3  52  41   4 257  31 234   4   4   4   4   4
##  [1747]   3   9 464  72  31  67   4 314   4   4   4   4 776   4   4   4   4   8
##  [1765]   8 557 342   4   4 127 781   4   6  65   4   4   9   4  31   4 784   8
##  [1783] 372   3   8   4   4   8 595   5   3   4   4   8   4   3   4   3  53  13
##  [1801]  31  31   4   4   4   4   5 754   4 401   3 557 793  31   6   3  31  91
##  [1819]   4   9 790   4   4   4   4   8   5  16 628   5   8   4   3   4   4   4
##  [1837] 502   7 128  31   8  67 459   5   6  88  31   6   3   4   4   4 104   4
##  [1855] 797   3 242 318   4   4 208 700   4 534   3 103   4  31   4   6   4   8
##  [1873]   9   4   3   4   8   4   4   4  40   3 884   3 545   4   4   2   4   4
##  [1891]   4   9   1   4 782   4   3   4   4 349   3 108   4   4   4  31  31  31
##  [1909] 583   3 210   5   3 335   6   4 336   4   4   4   4 349   4   4   4 225
##  [1927]   4   9   8 557   4   4   4   4   4   6 320   3 657   3 786   4 827   6
##  [1945]   4   4 119   4 414   3   4   4 252   5 826 493   5   4 825   4   6   2
##  [1963]   4 235   4   8 637   4   8   6   4   3   3   9   9 103 103   8   4 746
##  [1981] 343  31   4  44 405   5 578   4 448   4   6   8 173 187   5  33   8   4
##  [1999]   4   5   4   4 188   4   9   5 304   4 273   4   3   4   3   4   4   4
##  [2017] 330 838   4  33 834   4 649   4   8   4   4   3   6   4 208   4   3   4
##  [2035]   4   4  22   8   4   4   4   4   4   4 345   5   8   4 653   4   3 845
##  [2053]   3   5  31   4   4   3 349   6   8   9   3   9  10 134   4   8   4   3
##  [2071]   4   4 844   4   4   4   4   8   6   3   8   6   9   4   3 557 112   8
##  [2089] 852   4   4 304   8  10   9   4   8   6   4  31   3 168   4   8   8   3
##  [2107]   4   4 861  41   4  30   4   4   4 493   4 858   4   8   4   4   4 454
##  [2125]  31   4   6   4   4  47   4 162 170   4   3   3  46   6   4   4   3   4
##  [2143] 228   6  31   8   4   4  31   8   4   3   8   4   6   6   4   3   4  31
##  [2161]   8 732   4   4 225  56   4   3   4   4 116   4 316 604 452   6   4   3
##  [2179]   3   6   4 871   6   3   3 657   8   8  31   8  54   4   4   3 281   4
##  [2197]   8   4   3   4   4   6   4 525 766   4   4  53   4   9   9 504   4   4
##  [2215]   3 214  73   4 273   4   4   4 583   3 528   4 645  49   6   4   3   4
##  [2233]   6   4   4  32   4   4 330   4 457   8  31   4   3   3 579   4   4 650
##  [2251]   4   4   4   3   4   4 393   8 123   9   4 489   5   4   3 234   4  13
##  [2269] 579   4   4 724  27 298   4  24   5   8   4   5  72  92   4   4 636 206
##  [2287]   8 257   6   3   4   4   4   5   5   4  27  28   4 214   6 376  40   4
##  [2305] 264   4   6   4 723   8 871  31   4   5   4 244   4   9   4 480   3   8
##  [2323]  40 262   3   4  28   3   8   9   4   4   3  58   3   4   3   3   4   8
##  [2341] 183   6   4   4   6 554   6   3   4 109   9   4 554   4   4   4   4 211
##  [2359]   6   4 596   8 238   4   4   8   4   4   4   4   4  51  91  32   4   4
##  [2377]   4   4   4 304 313   6   4  14   4   9   4   4   5   4   4  59  58 639
##  [2395]  39   8   6   8  31   6  16 853   4   3 476   4   9   4   4   4   3 681
##  [2413]   4  31  64   3 153   4   4   3 821 553   8   3   4 181   6   4   4  21
##  [2431]   3   4   4   4   4   4  25   4 870 298   4   4   4   6   4   4   4   5
##  [2449]   8 293   3   3  49   4 397   4   4   4 299   3  30 409 367   3   4 397
##  [2467]   5   6   4   9   4 104   4 108 113  95   5 198   4   8  85 557   4  60
##  [2485] 719   6   4   4   9   4  36   3   4 336   5   4   4 343   9 716   4   4
##  [2503]   4 586   9  47   5   4   8  31 718 175   5   8 554   3 460 409 130   3
##  [2521] 557 334   4   8   4   4   4   4  39   4 283   6  42   6   8 554   4 352
##  [2539] 365   4 706  18   4   6   8   4   4   3 473   4 473   8   4   5   8   6
##  [2557]   4   4   8  93 341   4  98   4   4   4   4   4   4  31   4   5 268   4
##  [2575]   4 231 409  31   4 848   6   4   4   3   4   4  16   4   5   4   4   4
##  [2593]   4   4 306 158   3   4 132 347 345   4   4   1   4   4   4   6   8   4
##  [2611]   9  31   4   3   4   4   4   4   4 343   9  67 557   9  31   4   4   8
##  [2629]   9   4   4  67 847   4   6  58   4   8   4 352   4   4 486 182   3   5
##  [2647]   6  43   4   8   4 241  44   4   8   4   9   3  17   4   3   4   4   4
##  [2665]  90   4   4   4   4  61   4   6   3   8   3   4   4   4  31   4   4   4
##  [2683]   4   4   3   4 326 370 849   4   4  60  21 691 397   4 595   4   4   5
##  [2701]   4   3   4 417   4   3   5   9  60 392  74   4   8   4   4  23   9   9
##  [2719]   3 817   8   4   3 572 596   4   4   8   4  54   3  24   4   5   3   6
##  [2737]   6   8 312  31   4   4   5   4  31   4   3   4 698   9   8   4   4   4
##  [2755]   4   6   4   4   7   4   4 127 326   4 238   4 109   4  15   4 184   4
##  [2773]   4   4   6   4   4 557 238   4   4   4   3 510   4 353 774   4   6  75
##  [2791]   9   4   4   4   4  31   4   4   4   6   3   8 470 739   3 685   4   4
##  [2809]   4   4   5   8   4 728 840   6   4  72 375   8   4   3  47 184 603   4
##  [2827] 721   4   3   4   3   8  69   4 596 280   3   6  95   9 125   8   4  55
##  [2845] 588   4 850   5   3   4   4   3   8 495   9   3 801   9   5   3   4  19
##  [2863]  18   4 135   4 557   4   4 233   4   4   4   4   5  34   4  31  98   6
##  [2881] 683   4 125   5 480 862 682 185 359 539   4   4   4   4   4   5   9  24
##  [2899]   4   5   2   4   5   4   3  32   8   4   3   3   5   4   4   4   4  32
##  [2917]  85   9   2   4   4   8   5   4 198   4   4   5  31 794   4 194 153   4
##  [2935]  32   8  57 184 515   4   4 248   3   3   4   4   4   4   4 166   4 222
##  [2953]   4   4  23  21 723 553   6   4   6   6   4   4  78   4  31   4   4   4
##  [2971]   5   4   4   4   4 467  89 592 556   4 679   4   4   4  38   4   4   5
##  [2989]   4   4   4 528   4   4   4   4 409   3   6   3   3   5 450 130   3  61
##  [3007]   4 224   4   4 308   4  59   4  32   4   6 487   8   5   6   5   4   4
##  [3025]   4   4   4   4   4 676   4   3   4   4   8 692   4 788   8   4   4   3
##  [3043] 798   4   4   4   4 421   4   5   4   4   4 434   4   4 552  31  30   4
##  [3061] 409 434   4   4   5   4   4   4   5   4   8  65   8   4   5   4   4 314
##  [3079]   4   4   3   4   4   4   8   3 202   6   4   3   4   4   6   8   8   4
##  [3097]   4   4   4   5  59  31   4   4   4  55   5   3   4   4   5 369 720   4
##  [3115]   5   4   4  41   6 421   4   4   4 450   4   4   3  32   4   9   4   4
##  [3133]   8  96 514   3   4 557   4   6   9   4   4   4  47   4   4   4  36   4
##  [3151] 495 200   5  21   4   8   4   3   4  32   8  31  25   4   3   4 376   4
##  [3169]   4   4   4   4   3   4   4 482 197   8   5   6   5   5   3  52 390   4
##  [3187]   4   4  49 178   4   4 466 187   3 179   4   4   5 674 867   6   3   8
##  [3205]  10   8   6   4   4   4   4   5 671  98 586 138   4 669   4   4   4   3
##  [3223] 585   4  83   4 459 447   4  83   4   4   4   4  14 668   4   3   3   4
##  [3241]   4 405 215   4   4   4   4   5   4   8   4   6  31   5 121 667   4 590
##  [3259]   4   3   3   4   4   8   8   4   4   4  31   3   4  84   4  49   4   4
##  [3277]   8   4   4  72   4   9  31   9   6   3   4 557   4   4 342 666 154   4
##  [3295] 557 184   4   8 502   5   6   8   6 310   3   4   3   3   4   4   6   4
##  [3313]  31   8 288 167   3 349   3   4   4   4 204   8   5   6   6   4  31   5
##  [3331]  21   3   3 550   4   8   4   4   4   3   3   4  39   4   3   4   4   3
##  [3349]   6   4   6   4   3 561   4  31   3   4 436   4   4   4   4   4   3 138
##  [3367]   4   9  31   4 150   6 557   4   4 128   5   4   8   5 653 257   4   8
##  [3385]   4   4   4   8 574   9   6   3   4   4   4  31 727 361   3   3 725 261
##  [3403]   5 726   6   4   6   4   4   4 239 393   3   8   4   4   4   4   4 213
##  [3421] 291   4   6   4   4 629   4   4 731 736   4   4   6  83 898 353  67   4
##  [3439]   3   4   4   4 420   4 106 363   4   4   4   4   6   6   5   4   4   5
##  [3457]   8   4   4  24  31  31   4   4   4   4 178   6   4   4   5   3   6   4
##  [3475]   4 741   4   6 117   3   4   5 142  24   4   4   4   3  33  63   4   6
##  [3493] 186 308   4   4 140   4   4   4   4 342   4   4  11 216  64   4 493   4
##  [3511]   4  82   4   8   3  21   4   3   4   6   4 246   4 468   9  96  86   4
##  [3529]   4   4   4   8 624   4 739  31   4   3   8   3  31   4  42  33   3 538
##  [3547]   4   4  23 165 144   4 236   4  58   4   3 546   4 746   4   4 521 218
##  [3565]   4   6   3   4   6   4   3   3   6   4   3   4   4 477   4 651   4   5
##  [3583] 359   4   4 583   4   4   8   4   4 374   4   8  73   4   3   4   4   4
##  [3601]   4  31   8   9   3 893   4   8   3   4   4  85  21   4 375   3   4   4
##  [3619]  45   3  32 552   4   4   4 892   4   4 380 193   4   4 748   4 222 731
##  [3637]  28   3 260   4   8   5   4  69 272   4   4   4  31   6 751   4   6 414
##  [3655]  31   4 289   4   4   4  31   8   3  96   8   8   8   4   4  31   4 425
##  [3673]   3   4 893  40   5   4   4   4 125   4   4   4   4 757   4   5   4  31
##  [3691]   4   3   3 241   4   4   6   6 388   4   4   4   6   5   4   5   3   4
##  [3709]   4   3   3 402   4   4 425 192   4   6   4 246   6   4   3 759  42 619
##  [3727]   4  54  18 127   5   3   4   4   9 135   4   3   4 557   4   4   4   4
##  [3745]   4   8  73   4   5   5  14   8   6   4   4 246   6  31 300 643 178  96
##  [3763]   9   4   4 406   4 117   4   3 519   6   5   4 844   1   6 765 302  82
##  [3781]   9   8   8  68   5   8   6 769   4   8  45   6 114   4 118   5   4   4
##  [3799]   3   8   4   6  80   4   4   6   8   3   4 423   4  32   4   4   3   4
##  [3817]   4   4 152   4   8  90   3   4   4   4   4   4   4   5 557   3   7  46
##  [3835] 144   4 530   4   4   4   4  31  24   8 757   4   3 185   8 454   4   4
##  [3853] 570  65   4   4   4   4   4  83  31  76   4   4   9   6   4   5 602   4
##  [3871]  26   9   4  13  31  75   4   3  31  11 454   6   4   4   4 366 392   4
##  [3889] 104 180 541  13   4 522   4   8   5  32   4   3 157   3   6 541   4   5
##  [3907]   4   4   5   4   4 884   4   5   4   6   3   6   4   4   3   4   4  77
##  [3925]   4  31   4   4   4   4   5   4   4   4   4   4 592 126   9 217   4   4
##  [3943]   4 303 810 115   8   5   4   4  94   4   6 809   4   4   4   4   3   9
##  [3961]   4  65 317   4 215   4   4   3  41 177 296   4 611 340 482 101   3  63
##  [3979] 330   4   4   8 503   4  61   4   4  46 274 426   4   8   4   4   4 506
##  [3997]   4   4   4 394   5   4   4   4   3   4   4 459   4  32  41 402 479   4
##  [4015] 355 883  31   4   3   4   4   5   3   4   4 656  24   3   4 299   4   4
##  [4033]   4 219   8   4   4   6   8   4 456   4   4   4   4   4   3   4 540   4
##  [4051]   6   4   4   4   8   4  24   8   4   8   4   4   9   4 823   4 313   4
##  [4069] 516   4   4   9   3   3   4 147   4   6   6   4 557   4   4   4   4 633
##  [4087]   9   4   8   4 260  98  12  31   4   4   5  23   4   4   4   4  94   4
##  [4105]   4   8   4   4   3   4   4   4 129   5   4   9 784   4   3   8   4 521
##  [4123] 418   4   4   4   4   4   9 594   4 629  31   4   8   4 473  68   4 880
##  [4141]   5   3   4   4   4   5   4   4   5   3 140   4   3  96 588   4   6 204
##  [4159]   4   4 833   4 402 651   5   4   4   3 121 361   4   4   8   6   3  31
##  [4177]   8   4   4   5   4  67   4   4  31   4   4   6   4  43 294   9 718  31
##  [4195]   4 755   6   3  31   8   4   4   9   4  37   4 818 120   5   4 835   9
##  [4213]   9   6   3   3   4   4   6   4 729 232   4   8   4   4   8   6   4   5
##  [4231]   8 143   4   4 302  58   4   4   4   3 508   9  78   3   4   4   9 362
##  [4249] 841  19   4   4   4  50 557   4 446  41  21   3   3   5   4 291 878   4
##  [4267]   6   8   4  71   4 877   4   4   4   8   8 666   3   4   4 650   4   3
##  [4285]   8   8   5   4   4   4   4   4   6 328   4   4   4   4   4   4   6   6
##  [4303]   6  47   4  24   2   4   8  31   6   4   4   8   4   4   3   6   4   3
##  [4321]   4 107   8   8 198   4 518  31   4   4   3 214   4   4   5   4   6 172
##  [4339]   4   4   4  24   9   4   4  70 185   3  32   4   8   8   9   4   4   4
##  [4357]   4   4  18   4 393   6  31   4   4   5   3   4   4   4 850   4   5   3
##  [4375]   4   4 397   9   4   6   4   4  52   4   4 100  69   4   4  74   4 352
##  [4393]   6   4   6   6   4   9   6  29   6   4   3   5 646   4   5   3   3   8
##  [4411]   4  91   3   4   3   3   4   4   3   4   4   9 248   4   4   4   4   4
##  [4429]   8   4   6   6   6  37   4 437  31 859   4  67 544   3 141   4   4   6
##  [4447]   4   4  35   4   8   4   8   8   8 589   4   4  58   5   4  35   6  31
##  [4465]   5 287   4   4   6   4   4 340   4   4   4   4   4   4   4   4   3   4
##  [4483]   5  40 869   4   8   5   4  40 214  10   5   4   6 739   4 597  31 544
##  [4501]   9   4   3 134   4  31 444   4   4   4   6   4  46   9  96   4  44 862
##  [4519]  24 352   4   4   5  31  31   4   4  32 204 278 432  32   3   4 197   8
##  [4537] 136   6   3   4   6 427   3  67 310 638  31   3   4   3  31 222  24   4
##  [4555] 866  31   4   4 431   6   4   4   3   4   4   4   3   4   4  41 475   4
##  [4573] 553   4 749  41   4 332   4   4 559   4 389   4   4 366   4   4 234   4
##  [4591] 100 858  31  76  93   8   4   3   4   8   4   5   4 291  37 186   8   4
##  [4609]   4   4   4   4   9 871 196   6 740   3   8   8 155   4 183   4   3   4
##  [4627]   8   4 394   4  34   8   5   4   4 571   4 867   9   4   4   4   8  97
##  [4645]   5 127  24   6   4 454   4   4   5  43  31   4   4   8 332   9 146   4
##  [4663]   8   5 222  28   4 525   5   9   9   4   8   4   4   4   4  91   4   6
##  [4681]   4   4   4   8   4   3 796  68   4 221   5  11   4 590 213   4   5   4
##  [4699] 854   8   4   3  24   8  71 612   5   4 357   4   4   3   8 144   8   8
##  [4717]   4   8 230   4   4   3   4   4 162   4 516   6   4   4   4   4   4   4
##  [4735]   3 513   3   4   4 214 736   4   6   4  22   5   4   4 810   3   4 297
##  [4753]   4 557   5   4  58 557 399   4   4   4   3 247  18 133 640   4   8 114
##  [4771]   5   4 861 614   4   4   4   4   4   4   6   4   3  31   3 179   8   6
##  [4789]   4   6   4   4   4 400 459   4   3 143   4   3   4   3   6   4   4   4
##  [4807]  31  31 235   6   7   4   4   4 587   6   4   4 717   4  82   4   9   4
##  [4825]   4   9   4   8 648   4   8   5  31   3  24   4   4   4   4   4 273   4
##  [4843]   5  21   8   4   4   4   4 150   4 843   6   3  57   4 414   4   4 169
##  [4861]   4 479 454   3   4   4   4   4 100   3 490   9   8   3   8   4   4   8
##  [4879]   4 236  20   4 660   4 397 175  31   4 860   4   6   4   4  41   9   6
##  [4897] 139 642   4   3   3   4   4   4   5   4   3   4   4   4   4   4   3   9
##  [4915] 122   4   4   5 722   8   6   4   4   3   4   8   4   4   4   4   4 648
##  [4933] 592   6   3 110   4  31   6   4   4   4 637   4  28 163  55   3   4  31
##  [4951]   4   5   5   4   6   4   4   4  31   4   8   4 210   4   6   3 134 721
##  [4969]   8 557   8   3   3   4   4 287   8   4   8 573   4   4   5   4   4   4
##  [4987] 588   4   5  84   4   4  47   3 566   8 793 425  31   3   6   8 493   3
##  [5005]   3   4 265   5   4   4   4 720   6   3   3   4   6   4 282   4 137   4
##  [5023]   3   4 295   4   4   8   4   4   4   3   8   4 500  31   9   5   4   4
##  [5041] 825   3 226   4   4   8   4   4  65 615   4   3   4   3   3   3  31   4
##  [5059]   4  31   4   4   4 147  24   4   3   8   3   4   8   4   4   5   4   4
##  [5077]   4   4   3   4   4   5   8   4   3   4   8  41   4   5 393 533 409   4
##  [5095]   4   4   3   4   4  31   4  98   4  72   4   4   4   8 104   4   4 227
##  [5113] 524   4 373 535   3   3   4   8   4 185   4   8   8   4   4   4   9   4
##  [5131]   3 640   3 746 365   4 413   4   3 714 308 277 284   4   8   4  36   4
##  [5149]   6  67 520   4   8   4  18 140   4   4   8   4   4   4  31   4 157   4
##  [5167]   4   4  98   6   4   4 140 315 839   4  97   4  31   4   4   3   4 463
##  [5185]   4   4 557   9   8  31   4   4   5   4   4   4   4   4   4   4   5   4
##  [5203]   4 309   3   4   6   4   5   8   4   4   4 378   4   4   4 711   8   3
##  [5221] 574   4   4  31   4   4 347   3   4 154   4   4   4   3   4   6   4  31
##  [5239]   4 389   3   6   4   4 352   4 582  31   4   4  31   4 112   4   4   6
##  [5257]   4   4   4   4 162   4   6 590 753   4 710 763   4   4   4   8   6   4
##  [5275]   5   6   9 607   4   8 393   4   4   8   8   4   8   4   3   3 764  45
##  [5293]   4   4   9  55   4 587   6 304 296   4 276   3   4   9   4  22  31 355
##  [5311] 355   4   4  96  27 458 122   6   4   6   9   8   8   5 283 708   5  31
##  [5329]   4   4   4   4   4 160   8 390   4 557 709   4 237   4   4 342   4 463
##  [5347]   9  85   4   4 103 172  49 208   4 209   6   6   5   4  17   4   3   4
##  [5365]   4   8   4   3 228   4   4   4   9   4 836 473  31   6 349   4 213  31
##  [5383]   4   8  18  49 264   4 353   4   5   4   4  19   4   8   4   9   3 599
##  [5401]   4   3   4  20   4   3   5   6 423   4   8   8   4   3   5 716   4 297
##  [5419] 281   3   4   4   4   4   5 705 454   4   4   6   4 714   6   4   4   4
##  [5437] 404   8   8   8   4 704   4   4   4   4   4   4 117 776  31   8 116 593
##  [5455]   4 482 857   4   4 121  31   4   3   4   4   3 379   4   4   4   4 127
##  [5473] 227   4   4   3  31   4 489   4   3  30   8   6   3   3   8   4   4 574
##  [5491]   4 160   4 703 665   4   4   6   6   3  55 358   4 600   3   6 311   3
##  [5509]   4   8   4   8   4   4   8 171 409   3   5   4 708 701 654   4   4   4
##  [5527] 342  31   4   4   4 866   4   4 589 579   8   4   4   4   4   4  38  32
##  [5545]   4  42   4   3   4   4   4   3  31   4   4   4   4   4   4   6   4   4
##  [5563]   4   4   5   4   4   4   3 124   4   4   4   4   3   8   4   7   4   4
##  [5581]   8   9   3 423   3   8   4   4   4   4   4   4   4  38  13   4  31   4
##  [5599] 104   3 186  31   4 219  31 736   4   4   4   3   5   8  31 356  49   4
##  [5617]   4  31 385  37   4   4   4 767   4 353   4   8   4  90   8   6   4   5
##  [5635]   4 441   8 477   4  28 413  68 410  84   5   4   4   8   6   4 741 252
##  [5653]   4   5   4 169   4   8   5   6   4 135   4 698   8 396  89   4   4   4
##  [5671]   8  61 699   8   4 356   9 748   8   4  46   3   5   9   8   4   4   4
##  [5689] 184  85 181 379   4  31   8 510   8   4   4   4   4   8   4  94   4 438
##  [5707]   4   4   4   4   8   4   4   4   8   3   5   4   4  42   4   4   4   8
##  [5725]   4   5   4   4   5   4   4   4   4   6   4   4 497   8   8   3   6  27
##  [5743] 104   5   3   4   4 193 148   3   5   3   4   5   5 733 152   4   4   3
##  [5761] 517   8 206 822   8   4 577   4   4   6   5   4   4   4   5 696   5 697
##  [5779]   9   4   4   4   3 514   5 150   4   4   8   4   3   3 449   3   3   4
##  [5797]   4   4   8 722   4   6   3 747   3   4   4   6   4   4   9 110  63   4
##  [5815]  18  31 217  24   3   4   6   4   4  55   3   4   4   5  31   4   4  31
##  [5833]   9   4 191   4   4   4   3   4   8  41 221   4   4   4   4  23   4   4
##  [5851]   4   3   4   9  15   4   4 168   4   4 142   4   5   6  11   4 807   8
##  [5869]   6   9 111   4   4  10  30   5   4   4 698   4   8   4   4   8 346   4
##  [5887]   4   4   3 128   3 554   6   4  21   4 131 509   4 694   3   4   3   4
##  [5905]   4 170 225 480   4   3   4   4   6   3 691   4   4   4   5   5   5   4
##  [5923]   4   4   3   8   4  33   4   4   9   8 294   6   4 692  31   4   4   3
##  [5941] 730   9 693 557  33   6   5   4   4   4   9 171   4   4 579   6 475   5
##  [5959]   4   4   3   4   4   4   3   4  31 289   4   4   3   4  51   5   4   4
##  [5977]   4 191   4   5 541   8   4 595   4 869 594   4  54   4   3   5  31   5
##  [5995]   8   4 800 214   3   6   4 428   9   4   4   8  35   4   4   4   6   4
##  [6013]   4   4   4   5   4   4 432 775 856   4   4   4   4   4   4   8   4   6
##  [6031]   4   3   9   6   4 771   6 352 277   6   4   4   5  36   4   4   4 690
##  [6049] 135  15   4   4 415 705   8   3   3   4   4 807   4   4   8 116   6   4
##  [6067] 248   4   4   6   9   3   4   4 641  31   4   4   3   4  73 770   4   6
##  [6085]   3   6 548   4   6   4 595 133   6   6   4   4  12   9   4   8   8   4
##  [6103]   4   8   4   4   3   4  31   6  51   8   6  81 159   3   4   4 760  31
##  [6121]   4   4   3   4   4   3   3  86  11 185 203   4   4   4   6   4   4   4
##  [6139]   8   8   8   3   4   8   8   4   4 118   4   9   3   3   5   4   3 742
##  [6157]   4   4 247   4 225   8  73  47   4   4 351   5   3   3   4   4   4   3
##  [6175]   6   4   4   4 524   4   4   5 837   4 779   4   5   4   8   4   4 594
##  [6193]   9   4   4 544   3 785   4   4   4   8   4   4 751   4 307   4   9   4
##  [6211]   6   4   4   8   4   4   4   6   9   4   4   4   4   4   4 303   6   3
##  [6229] 329   4   6   4 835 151   4   4   4   4 204   5   1   4  32  24   4 330
##  [6247]  89 269 341   4  65   9 227   5 846   5   4   4  42   4   3   4   4   4
##  [6265]   4   4   4   4   4   4   4 156   8   4  63   4   6   4   6   4   8  31
##  [6283]   6   4   4   4   4   4   8   4 152   4   4   4 708  41   3   6   4   4
##  [6301]  56   4 563   3   4 417  48 557   4  16   4   4   4   5 168   4 686 689
##  [6319]   8   4   4  46 688   4   4   6   5   4   4   8   4   8 163   6 213   3
##  [6337]   8 579   4   4  92   8   4   4   4   4 549  31   4   4   5   4   4   4
##  [6355] 687   8   8   8   4   9   4   4   4   6   4   4   3   6   4 659 125   4
##  [6373]   3   4   4 331   4   8   3   4   4 830   3 107 806 309   8   4  31  72
##  [6391]   4 153   4   4   4   4 632   8   8 738   4  82   4   4   4   3   3   4
##  [6409] 692   3   4   6   4 797   3   6  31   4 280   4  88 196   4   4   4   6
##  [6427]   4   4 286   3   6   5   3   4   4   4   8 395   4 684 531  12   4   6
##  [6445]   4   4   4  31 249 591 207   4   4   6   3  31 696   8   6   6   4   4
##  [6463]   4   8   4   4   9   6 321   4   4   5 237   3   4 300   4 327   6   3
##  [6481]   4  53   3   6   4   4   3 119   4 648   4   4   4   4  63   6   4   4
##  [6499]   8 557   4   4   4   6   4   4   4   3 137   8   4   9   4 677   5   3
##  [6517]   4 284   4 460   6   3   8   4 447   4   4   4 809   6   6 220 628   3
##  [6535]   3   8 735   4 456 827  41 353   4   5 703   4   3   5   4   4   3   8
##  [6553]   5 729 379 386 214 450   4   3   3   4   9   4   4 678   3   3   4   4
##  [6571]   4  76 241 735   3   4   4 101   8  21 251   8   4   8   5   5   3   4
##  [6589] 645   4   9   8   4   4   6   3 673  33  84   4 353   4   4   8   4   4
##  [6607]   4 573 308   8 434   5   4   6   6   8 267   4   4   4   5   4   3   4
##  [6625]  31 554   4 382   4 628   4   4   4   4   4   4   4   4   4   4   3   3
##  [6643]  24   4   5   4 264   4   4   4   9 265   6  12  31 557   3   4   4   4
##  [6661]   5 555   8   4   4   6   4   5   5   4   5 397   6   5   4   5   4   4
##  [6679]   4   4 253   4   3   4   4   4 686   4   4   3   3   4   4   8 747 433
##  [6697]   3   4   4   4   3 496 144   3   4   8  46   4   4   3   8   4 414   4
##  [6715]   3  32   3   4   4 349   4   5   4   4  16  31   3   4   4   4 338   8
##  [6733]   4   4 409   4   8  28   5   8   3   4   4 349   4 166   8   4   4   4
##  [6751]  31   4 673   4   9   4   4 752   9   4 124   5   9   5   3   3 595   4
##  [6769]   4 386   3   6   6   3   4   6   4 630   4   6 211   4   4   3   6   4
##  [6787]   4  97   3   4 307   4   4   4   4   4   4 210   8   4   6   4   4   4
##  [6805]   4   3   8   4 595 557   8   4 644   4   3   4  53 449  30   4   9   9
##  [6823]   8 211  27   4 595   4 227   4   4   4 463   8  60   4   4   4 487   4
##  [6841]   4   8 173   9   3 592   4   4 353   8 367   6 351 561  97   5   6   9
##  [6859]   5   5   4 341   4 824   6 429   4   4 373   4   4   4 712   4   4 474
##  [6877]   8   3   4   4 212   4 352  65 104   4   4   9 453   4   8 197   6  31
##  [6895]   4   6 504   8   4 263   4   4   9   8   4 364   4 390 117   3   5 174
##  [6913]  23   3   4   3 114  31   4   4   4   4 624   4   9   3   4   4   4 115
##  [6931]   8   8   6   4   6   8   4 210   3  41 148   4   4   9   6   4   9   4
##  [6949]   4 702   4   4 242 549 575  31   4   6   3  44   8   4  51   4   3   6
##  [6967]   4   4   4   9   4  13   4   4   4   5 557 185   4   4   4 129  31   3
##  [6985]   8   3   4   4   4   4 545  49   4   3   5 493   3   3  89   4   5  31
##  [7003]   6   4  25   9   8   4   4   4   4   4   3   4   4   3   4   4   4   8
##  [7021]   4 354  96   8   4  19   4   4   4  17   4  31   4   4   4   4 383   4
##  [7039]   5   4   8   5   4   4   8 226  24   4   4   8 322 864   4   4  18   4
##  [7057] 229   4   4   4   5   4 329   4   4   4   8   4 643   3   3 478 277  39
##  [7075]   4   3   4 429   9   3 308   4   4   6   4   4 669   6 713   8   8   8
##  [7093]   5   4 353  31   4   4   4   4 701   4   3   4   5   4   4   4   4   3
##  [7111]   4 270   5   4   4   3   5   4 294   4   3 185  10   4   4 264   5   3
##  [7129]   4   8  31   4   3   4   5  14   4   4   4   3   5   4 557   4   8 859
##  [7147]   4   4   4   3  32 744 471 317   4   4   3   8   4   3   5   4 557   4
##  [7165] 474   4   4 392 557   3   3 353   6  14   4   4  67   4 352   4 540 492
##  [7183]   4 584   4 625  28  31   4   4   4   4 129 623   4 863   3 121 232   4
##  [7201]   4  41   5   8   4  31   4   4   4  72   9   4 424   4   4   6 580   4
##  [7219] 166   6   6   8   3   3   4   4   3   8   3 417   4   4   4   3   4   3
##  [7237]   4 571  28   4  78   3   4   4   4   4 557 269   3   4   4   4   8 124
##  [7255]   4   6 454   4 639   4   4   4   6  96   8   4   4   4   4   4   4 704
##  [7273]  13 128   3   4   4 395   3   4   4   4   4 105 288   4   4   8   5   5
##  [7291] 124   4   9  41 431   4   4   5   4   4   4 477   5   4   4   4   4   3
##  [7309]   4   3   4   3 382 234   4   8   4   4   6   6   4   6   3   4   4   3
##  [7327]  89   4   4   4 584   4  24 675   4   4   4   6   4  31   4   4   3   8
##  [7345]   4   4  66   4   4   4 140   8   4   4  84   4   4   8   3   8   4  15
##  [7363]  56   8 218   4 814   5   8 166   9   4   3   3   4   4   4 142   6   4
##  [7381] 100   8  31   6   4 440   4   8 209   6   4   6 562   4   4   4   3   8
##  [7399]   4   4   3   9   4 581   3 141   4   4   4   4 680   4 772   4   6   3
##  [7417]   4   3   4 201   4   6   4 383   3   4   4   4   4   6 569 228   4   4
##  [7435] 841 543   4   8 196   4   9   4   4   4   5   4   4  41   4   4   4   4
##  [7453]   8   8 148   6  23   4   4   3   4   4   4   8   8   8   8   4  82 280
##  [7471]  31   4   4   5 260   8   8   4   4   4 356 478   4   4   4   6   4   4
##  [7489]   4   4   4   8   4   4 285   4   6   4   6   6 352   9   4   4   9   5
##  [7507]   4   4   1   6 182   4   9  41 412   3   4  28   4 546 658   6   4   3
##  [7525] 439   4 136  89   4   4   8   4 414   4   4   4   6   3  49   4   3 593
##  [7543]   4   4   3 137  31   6   4   4 469 310   3   4   6   4 567   4   4 734
##  [7561] 414   4   4   6   4   5   4   4   4   8   3  36 462   4 176   4   4 543
##  [7579]  40   4   4   6   3   1  43   4 595   4   4   4 897   4  72   4   6   4
##  [7597]   4  33   4   6  33   9   4   5 307   4   3   4   5   4 647   9   4   4
##  [7615] 200 232   3  44  45   4   6 258   4   4   3   8   8   4   6   3   4   6
##  [7633]   5 562   4   4   4 663   4 482   4 796   4 740   4   4 288   3   3   4
##  [7651] 566   4   6   6  24   3   4   4 896   4 160   4  38   4 297   5   6   4
##  [7669]   4   4 338 553   4   3   4 288   8   4   5   4   4   6   4 290   5   3
##  [7687]   4   8   4   5  50 401   6  35 279   6   4   4   4   5   4   5   5   6
##  [7705]   4   4   4   5  31 501   4   4 340   4   4   4   4   8   8   4   4   4
##  [7723] 229 161   8   4   3   4 575 683 139   4   8   4   5 297 745   4   3  49
##  [7741] 633   4   5   4   4 583   6   3 352 457   3   4   4   4   4   4 149   4
##  [7759] 271   4   4  32   4 351   4 202   4  54   4 511   3   4   4  64   4   5
##  [7777]   8   5 626   3   4   6 711   9   4   4   3   3   4   4   3 742   5   4
##  [7795]   8 344   8 352 744   5   4   4   4   4 222   8   4 743  55 566   4 217
##  [7813] 292  46 304   3   4   4   4   2   4   5   4   4  41 766 743   6   6   4
##  [7831]   4   3   6   4 323   4 319 744   9  20 144   4  34   4 217   4   4   4
##  [7849]   8   5   6   3   4 308   4   4   4   3   4   4   8   3   4   4   3 275
##  [7867]   4   4   4   4   8   4 608  84   4   3 761  44   4 237 895   4   4   4
##  [7885] 347   3  24   4  67   4  28   5   4   4   4   3 346 113   4   3 620   4
##  [7903]   4   4   4   3 461 171 473   4   3   4   6   3 750 894   8  31   4 107
##  [7921] 104 749  31   4   4   4   4 776   4   4   4   4  56   4   4   9   8 241
##  [7939]   4   4  32 352   6   8   3   6   4   5   4   9 333   9   8   4   4   4
##  [7957]   3  24   3   6   4   8   4   3   9   9   4   4 689 507 557   4   4   6
##  [7975]   4 752   4   9   9   4   8   4 422  31   6   6   4   4   8   4   4   5
##  [7993]  13   4   4   3 167  47  26  83   8 114 297   4 249   3   4   5 368   4
##  [8011] 891   6   4 298   4 626   8   9   4 149  36   4   4   4   9   3   6   3
##  [8029]   4 184   4   8 845   5   4   5 599   3   4   4   4   4 557 256   5   4
##  [8047]   5   4   4   3   3 460   4 472 170   4   6 584   4  31   8   8  31   4
##  [8065]   3  31  67 129   3   4   3   4   4  98   6  80   4   8 502  24  94   4
##  [8083]  31   3 758   4   4   4   8   8   4  31   4 167 557   8   4   9   6  21
##  [8101]   6   6 196  79 497   4  84   4   3   6   8 470 414   3 753   5   4 289
##  [8119]   6   4  57  41  31 584   4 586   4   4   3   3   4   9   4 740  99   4
##  [8137]  58  64   4   4   4   8  60   4   6 654   4 756 202 488   4   4   3  31
##  [8155]   8 858   6   5   6 754   4   4   3   4   4   6   6   4   8  41 898   6
##  [8173]  31   4  31   4   4   4   8 755 194   4   4   6   5   3   4   3 686 168
##  [8191]   3   8   4   6   4   8   4   4   4   4   3   4   4   4   5   4  31   6
##  [8209]   4 146   4   4 760 456   8   4   4   4 763   3   4  31   8   8   4   4
##  [8227]   5   4   4   3   4   4   4 762   4   4  31  75 271   4   9   6   4   5
##  [8245]   4   3  96 220   4  77   4   4   3   9   6 126   3   5 129 408   3   8
##  [8263]   4 826   4   4 445   4   5   4   4   8   4   4   4   6   6   4   3   4
##  [8281]   4 773   4 323  13 337  28   8   8  31   4   5 208  31   4   4   4   9
##  [8299] 342   4  31  49  52   8 102   4 767 566   4   9   4   6   4   4 212   4
##  [8317] 353   8 545   4   4 772   9   3   4   3   4 460  16 890   4 215 491   8
##  [8335]   4   4   4 393   3   3 724   4   4   4 532   3 104   9   4   4   4   4
##  [8353]   4   3   4   4   4 104 770  31  31   9   4   9  31   4   4 755  31   5
##  [8371]   9 886   8   4   4   4   4   4  31 437  55   4  84   4 104 771   4  47
##  [8389]   4   3   5   9   6   2   4   4   4   8  32 379   8   4   8   3 662  31
##  [8407] 117   4   4   4   3   6 261   3   4   4  31   4   4   8   4 889   4 385
##  [8425]   6   4   3   4   4 184 104   5  32   9 661   4  40   8 104   8   4   4
##  [8443]  31   9  32   9 227 401   4 131  58   4   4   4   4   4   4   8  55   4
##  [8461] 652   4 189   4   4 720   3   6   4 174   4   4 131 281   8   4   3  31
##  [8479]   8   3   4   3  74   6 214   4   4   8   4 586 277   5   4   4 553 228
##  [8497] 243   5   4   4 213 779   4   4   4   4   1   4   8  31   4   4   4 775
##  [8515]   4 253   4   8   4  70   4   8   4 166   4 387   4   3   4   8   4   4
##  [8533] 353   4   4  53   4   5 224   4   3   4 498   4   9   8   4 397   4   8
##  [8551]   4  30   8   9  56  16   3   6   4   8  85   3   4   4   6   4  36   4
##  [8569]   4   4 438   8 414 493   4   4   4 647   5   4   4   4 408  31   4   3
##  [8587]   4   4   3   4  31   4  37  31   4 403 117  99   3  39   4   9  94   9
##  [8605]  67  31   4   3 103  72   4   6 141   4   5   4   3   4   6   8   3 137
##  [8623] 644  98   4   4   4   3   6   4   3   4   4   3   8   6   4   7   4   4
##  [8641]   3   4 656   8   6   8   4   4   6 116   4 454   4  11   6   6   3   3
##  [8659]  31   4   3   4 130 223   4  96   9   4   6   4  56   4   4   4  67 564
##  [8677] 637   4 161 557   8   5   4   8   3   6   8   4   4   4   4   4  31  32
##  [8695]   4   4   8 129  64   8   4   4   4 499   4   4   6   4   4   3   3  21
##  [8713] 199   4 496 321  31  54  67   9   3   4  89   4   4   4   5 778  31   4
##  [8731]   3  29   4   6 520   4   4   8   3   4   8   4   4 660   4 777   4   4
##  [8749]   8   4   4 158 284   4   4   4   4 546   9   4 220   4   4   3  24   8
##  [8767]   6   6   6   4   4   4  30 367   5 790  98 493 161   3   4   4   6   4
##  [8785]   8   4   4  30   3   9   5   3   4   6   4  32   4 570  72  48   3   5
##  [8803]  28   3   4   4  53   4 778   6   3   4  98   4   4 334   4 459  56   3
##  [8821]   4   4  24   4   4   4   4   6 304   4   4 156   4   4   4   5   3   4
##  [8839]   3   4  31   5 285   3  24  91   6  13   4   4 787   3 782   9   6   6
##  [8857] 493   3  11   4   4   4   4   4   4   4   8 242  17  25 192   4  31   3
##  [8875]   4   3 754   4   4  46   3  33   4   5   4   4   9  94   6   4   6   6
##  [8893]   4   4   4 324   4   3   6   4   4  53   4   4   9 523   4   4   6   4
##  [8911]   3   4  21  31   5 165   4 786   4  58   3  31   4   3   4   3   3   9
##  [8929]   4   5 783   4 223   3 111   4   9   3   4   4 764 236 406 475 490   4
##  [8947] 556   4 556   3   9  19   5   3 159   4   4   4   3  31   9   5   4  72
##  [8965]   4   4   5 505   4   3 878   8   4 106   4   6   4  43   4  21   4 712
##  [8983]   4  28 548   6  26   3   4   4   4   3   3   4  18   4   3   5   9   4
##  [9001] 785   4   4   4   8   4   3 440   4   4   8   3   8   4   6   4   3   5
##  [9019]   8   4   4  24   4   4   6 430   5   4   4  31   8   8   4 258   4   4
##  [9037] 483   6   4   4 887   4 331   8   4   4   4  72   8   4   4   4   4 460
##  [9055] 339  24   4   4   4  31   4   4 590   4   4 236   9   6   8   3   4   4
##  [9073]  82   5  31   4 430  24   4   8 342 756   9   8   4 630   3   3   4   3
##  [9091]   8   4   4  62   4   4   4   4 627 182   4   4   3  66   4   6 788   4
##  [9109]  31   8 145   6  19   4   3   3 642   4   4   4   4   3   9  89 557   5
##  [9127]  56   3   4 266   6  52 859  31 397  52   4   4   4   4   4   4 849   4
##  [9145] 612   5   8  19   4   4   4   4 387   4   8  62   8   4 342   4   4   3
##  [9163]   8   4   3   4   4   4  31   8   6   8   8  56   4   4   4   4   4 275
##  [9181]   3   4   4   6   4   4   4 781   4  67   4 568  31   5 101   4   3   8
##  [9199]   6   4   4 110   5 214  75   4   4   8  23   4   9 421   4   4   9   4
##  [9217]   6   8   4   4   4   4 259   4   4   4   4   4   4 260   4  21  77   4
##  [9235]  26   8   4   3   4 102   4   4   4   4   3   3   6   5 308   8   6   4
##  [9253]   8  94   4   4  11   4   4   4   4   4   4  75  39   8   4   4   6  48
##  [9271]   3   4   3   3 144  96   4   6 509   4   4   3 442   4   4   5   4   3
##  [9289]   4   5   5   4   4   4  31   8  49 301   5   4 183   4 360   3   4   4
##  [9307] 651   8   4   4   4   4   8   4   4  31   4   4   4   3   4   5   6   4
##  [9325]   4   4   6 543 362  31   4   4  89   4  73   3   4   8   5 231  32 404
##  [9343] 105   4 201   5   8   4   4   9   5   4  30   3 152   4   4   4  67   4
##  [9361]   8 496   3 513   6   4   6   4   9   3  31   5   4  60   9   6 470   4
##  [9379]   3 204   3   4   4   4   3   4 635 701 419   4   4   4   9   4   4   4
##  [9397]   4   4  31 379   4   4   9   8   4   3   4   4  31 789   3   5  12   4
##  [9415] 667   4 164   6 163   5 132 547  55   4   4 207   4 448   4   5   6   4
##  [9433]   8   4   3   4 305   4 160   6   5  31 693   4  40   9   4  28   4 184
##  [9451]   4  83   4   3 628  58 221   3 162   4   4  57  43   4  12   4   4  71
##  [9469]   4   4   6 458 118   8   3 207   4 806 129   3 214   4  24  57   4   3
##  [9487]   4 792   8   5   4   8   5   3   4   4 652 791   4   4   4   3   4   4
##  [9505]  31   3   3  20   3   5   8 289   9  26   4   5   8   4  41   3   4   4
##  [9523]   9   4  91 129   3   4   4   6   4   5   9 184   6  10   4   3   4   4
##  [9541]   4   4   8   5  31 392   4 288   3  32   4   4   4   8 581   3   4   8
##  [9559]   3   5  21   4 290   4   4 129   5 198   6 773   8   4 642   4   4 466
##  [9577]   4   4   8  31  41 384  31   3   4   4   4   8   4   4   4  75   4   4
##  [9595]  43   3 516   4   5 383 419   8   4   4  31  40   8 292   4 731  31   5
##  [9613] 243   4   3   4  31   6 490   4   8   4 710   3 120 380 651   4   9   4
##  [9631]   4   4   5 646   3   4 326   5   6   4   5 200   4  77 356 411   4 896
##  [9649]   4   4 719   4   4   4   8   4   3   4 319   4   4 189   5   4 158   4
##  [9667]  79 168 661 333 326   4 614   3   4   3   8   6   4   9   3   5 584   6
##  [9685] 459 276   4   4 172 401 168 105 484   4  64   8   4   4   4 688 118   4
##  [9703] 583 224   3   6   9   4   9   4   4   4   4 769   4 559   9 486   4   3
##  [9721]   3   4   4 383   6 454   3 212   3   9   4   4   4   4   3   5  31   6
##  [9739] 794   8   4   4 104   4   4 453   4   4   3 435   4   4 584 578   8   4
##  [9757]   4   8 127  31  21  31   8   4   5  45   3   4   6  92   4 142   4   4
##  [9775]   4 869   4   4  15   4   8   9   8 259 434   4   8   4   4   4   4 254
##  [9793]   4   4   4   4   4 418   4   3   4   4   4   4   9   6  58 763 354   3
##  [9811] 610  65   4   4   5   8   4   6   3   4   3   4   4   8   4   5   4   5
##  [9829]   8   4   4   9 638   4   4   5  31   4 464 439   4   4   4  31  67  49
##  [9847]   6   4  31   4   4   4   3   4 240   4   8   6   3 328 570  31   4   6
##  [9865]   4 414   4 798   4   5   4   6   3  34  15 521   3  64   4  32  28 353
##  [9883]   4   3 237  31   4   8   3  31   3   9   4   4   6   4   3   4   4   4
##  [9901]   4 384   3   4  67   4 885   3   4  32   3 246   4   4 578   3  32   3
##  [9919]   9   8   4 594   4   3   2   9 214   4   9   4   4   3   5   6   9   9
##  [9937]   6   4   4   4   4   4   4   4   4   4   8   9  75 370  18 131 184 119
##  [9955]   6 457   4   4   4 592   3   4 799 136   6 554   4   4 236   4   4   4
##  [9973]   4   4  56   6   4   3   4 231   4 161 378   3   4   4   6   4   4   4
##  [9991]   4 435 678   4   4   6   4   6   4 271   4   4   6   3   6 644   4   4
## [10009]  31   4   4   4 194   4 277   4   4 209   6   4   9   8   4  89 603 800
## [10027]   9   4   4   3  31   8   8 213   6   4   5   4   8   9   5 725   4 156
## [10045]   4   3   4 655 329   3 729   4   5 434   4   4 295  24   8   5   4  29
## [10063]   4   4   3   4   4   5   9   3   4  39   8   4   4   4 493   3   4   4
## [10081]  24   4   6   3   8   4   4   3   4 411   4 346   8 491   4   4   4   4
## [10099]   4 117 726 593   6 203   4   3   6 501   6   4 108   9   5 295  43   8
## [10117]   4  63   5 557   4   4 102  31   3  49   4   3   4   4   3 349   4   3
## [10135]   6   8   9   4 336   4   6   4   4 557 557   5   4   4   6   8   8   9
## [10153]   4   6   4 375   4 793   4 304 522  41   4   4   4  31   4   4 805 235
## [10171]   3  52   5   4   4   4   4   8   4   4  26  32  31  32   3   4   3   4
## [10189]  31 258  31   4   4   5   5   4   8 378   4   3 184 803   4   3   9   4
## [10207] 147 302   5   4   4   8 578   3   4 431 326 328   4  94   8   9   4  71
## [10225]   5   4 601 429   6   9   6 557   8  31 459   4 642   8   4   5  43   4
## [10243]   4   4 133   6 557   4   4   5 129   4 507   3  67 121   4 560   4  31
## [10261] 439   4   4   3 153   4   8 787   3   4 324   4 136   4   4   4   9 715
## [10279]   4   8 578   8   4   3   4   4   4   4 619   4   4   3   4   6   9 373
## [10297]   4   6   4 258   4 201 106   8 215   5 481   4   9   6   3   4   5   8
## [10315]  31  24   4   5   4   4   4   4   4   3   3   4  12   4   4 838   4   3
## [10333]   4   4   8  33 353   4   8   4   8  31   4   4   9   4  31   4   4 316
## [10351]   5   5  12   5   9   4   6   4 211   5   4   8   3   4   4   8   6   4
## [10369]   3   4   4   4   4   4   4   8   4   4   4   4   4 157 756   4   8   4
## [10387] 669   8   4   4   4  62 808   4  31 242 634   4   4   4   5   4   4   4
## [10405]   4 258 680   3   6  35  31   9   5 812 453   6   4   4   8   4   4 446
## [10423]   8   3   4  49   4   4 646   3   3 245 455   4 153   4 557   3 227   4
## [10441]   4 208   4   4  31   3   3   4  31   4 349   5 804   4   4   6 410   9
## [10459]  24   4  79   4   4 427   6 427   4   3   3   4   4   4   3   4   4   4
## [10477]   4 129   4   9   4   4   5 282   3   4   4   4   4   4   4   3   4 818
## [10495]   6   4  71   4   4   4   8   4   8   5   4   4 594  28 393   8 341   4
## [10513]   4   3   4   3   3   4   9   4   3   3  21   4   4   6   4  49   4 241
## [10531]   4   5 817   3 795   4   4   4   8   8   4   4   3  40  73   3   4   4
## [10549]   4   4 628   4 815   4   4 419   6 249   4 250   4   3 250   5   3   4
## [10567] 472   4   4 816  92 814   4  37   5   4   4   4   3   4   4   4  29   4
## [10585] 349   3 443   5 621   6   8   4   5   4   4   4   4   4 813   4   4  52
## [10603]   3   8   4   5   4   4   4   4   4   3   4   4   9   3 353 818   4   3
## [10621]  31   6   4   4   4   4   4 644   9   4 122   3   5   2 648 185   9   4
## [10639]   3   4   3 342   4   4   3   4   4   3   8   4  63   3 255   4   6   3
## [10657]   4 569 275   4   4   6 180 706 557   4   6  31   4   4   4 685   4   4
## [10675]   3   4   4 703   4 774   6   4 628   4 197   4   4   6 758   4   4 437
## [10693] 885   4   4  10 177   4 882 668   4   4   8   4   4   4   4   4 145 751
## [10711]   4   4   4   9   4   4   4   6 626   6  55 557 819   5   4   4  18 618
## [10729]   4 570   3 244 330   4  26   3 821   4 820  31   4   4   4 410 190   4
## [10747] 220   6   4 897   4 780 335   4   4  41   4   3   9   4   9   6   4   4
## [10765]   8   4   4   5   3   4 794 109   4   3 104   4   4 553   3   4 449   4
## [10783] 894 101 154   3 203   4   3 358   4   8   4   9   4   5   5   4 199 180
## [10801]  75   8   9   3   6   4 594   4   4   4   4   3   6   4   4   4   3   3
## [10819]  12   4  47  34 344   4   4   4   3   4 825 617   4   4   3   4   4 762
## [10837]   8   4   4 129   4 881   3   4   4  34   4   4   4 220 104   4   4   4
## [10855]   4   4 239  21   6 602 833 557 505   4   4 733   4   8   4   5   3   4
## [10873]   4   4   4 366 136   6   4   6   3   4   4 208   8 250   4   4 244   6
## [10891]   4  31   8   4   4   4   6   4 655   4   4   9   3   3  40  31 840   4
## [10909]   4   4   4 379 595   4 824 211 139   3  11   4   3   4 418   9   4  58
## [10927]   6 397   4   4   8 359 256   4 476 366   4   4   4   4   4 104   3   6
## [10945]  31   4   3   4   8   4  30   5   3   5   4  13   4   4   4 409   4   4
## [10963] 344   4 800 737  41   9   8   9   4   3   3 422   4   4   4 397  24 129
## [10981]   4  32   4   4   4   4   4   4 734 274   4   9 406  32   4   4   5   8
## [10999] 317 466 623   4   3   3   4   4   4   8   9   8   4   4   4   3 768   9
## [11017]  18 531 819   5   4   5 128   4   4   4   9   6  89 653   8   8 566   4
## [11035] 195 785   4   6   4   4   4   4   3  77   4   4   4   4   4  31 442   4
## [11053]   4  72   4   4   5   3   4   8   4 130   4   6   3   4   4   4   4   4
## [11071]   4   4  31  54   8   4   4   4  64   4   6   4   3   4  15   4   4 705
## [11089]   8   3   4   4   4   4   4  75   3 652   5 829  44   4   4  88   6   4
## [11107]   4   4   4 555  31   4   4  47 187   3   5   4   4   4   4 190   3   4
## [11125]   5   6 658   9   4   4   4   6   8   4   6   4  79   5 279  31   4   4
## [11143]   4   4   4 328 163   4   4   4   4 112 839   9 595   3   4   4 491   3
## [11161]   4   5  24   4   4 647   4   4   4   4   4   4 622 398 760   4   6  26
## [11179]   6  10   4   4   4 799 201   4   3 577   7   8   4   4   4   3 557   4
## [11197]  25   4   4   4 643   4   4   3  96   4   8  94 557   4 795   6   4   4
## [11215] 306   4   4  60   4 809  57   4   4   5   4   8   4   4   4   4 803  79
## [11233] 414   4   3   4   3 151   4   4   4 362  27 126  98   4   4   9 721   4
## [11251]   4   4   4   4   4   3 238 242   8 184 100 834   4   4 499   4 494   4
## [11269]  13 589 158   4   3   2   8   4   8   8   9 657   3   4   6   5   4   8
## [11287]  31   4 598   4   4   4   5   4   4 646   4   4   4   5 832   4   8   6
## [11305]   4   3   4   8   4   6 501   4 208  12   4   3   4  88   4   4   9   3
## [11323] 831   4   3 252   4   4  31   8   4   4   6   4   4 654  28 823   5   4
## [11341]   9   4   4   4   4   4 540   8   4   8   4  67   4   8   3   9   4   5
## [11359]   4  51   3   4   8 454   4 726   4   3   8   4   4 208   8   4   6 728
## [11377] 363   5   3   8  41 527 493   8 358   4 837 529   4   4   4  31   4   4
## [11395]   4 252 643 223   3   3   3 232   4   4   4   5   4   4   4   4   3 891
## [11413] 239   5   5   4  31   3  39   3   4 185 192   4   8  75   4   4 236 699
## [11431]   3 815 292  12   4   4   4 215   4   4   9   8   5   3   4   4   4   4
## [11449]   3  66   4   5   4 562 836 557   3   4 231  53   4   4 223  31   3  72
## [11467]   3   8   8   4 595   6   6   4 621   4   8 197   8   3   4   4 824 588
## [11485]   5   4   4 584   4 460   6 775   4   8   8 484  31   4   3   4 163   3
## [11503]   4 585   4   4   4   4   4 643   4   4 325 887   4   4   6 155   4   4
## [11521]   4 242 563 405   4   6   4   6   4   4   6   6   4   4  15   4   4   6
## [11539]   4   3   4   8   8   4   3 445   4 460   4 558  61   4   6   5   4 248
## [11557]   8   5   4 104   4   4  41   8 464   8   9   4 391   4  24   4   4   4
## [11575]   5   4   8   4   8  16   4   9 553 361   4   4   8   4   4   4   4   5
## [11593] 527  86 792  31   4   3   4   6   8   4   4  24   4   4 168   5   4 583
## [11611]  72   4  96   4   4   9   4 107   4 505   4   5   9   4 121   4   4   4
## [11629] 853   4   4   6  31   3   3   3   8   3   4 434   3  31   4   4   4 229
## [11647]   4   4   4   3   4   4 205   6   4 316   4 879   4  33 353   8   8   4
## [11665]   4   6   6  31   4  31 385   4   3   3   8   4   4   4   5   4  31   4
## [11683]   3   4   4   4   4  53   9   4   4  28   4 163   4   4   3 843   3   6
## [11701]   8   9 205   4 208   4   8   8   6 797   9   4   5   3 428  31   4   9
## [11719]   4 169 153  31   3   4 553   4   8   9 198 842   4   4   4   3 889  57
## [11737]   4   4   4   3   6 451   4   4 635   4 516 115   4 215   4   4   4   4
## [11755]  12   3   4  87 433   4   4   8   4   4   4   4 566   4   8 752  72   8
## [11773]   4   4   4   4   4   3   3   4   4   6   4   4   9   4  67   8   5   3
## [11791]  31   4  84   9   4   4   4   3   3   4   3  47   6   4   4   6  32   4
## [11809]  32   4   4   4  39 396   3   6   5 104  92   3   1 560 454   8   6   4
## [11827]   4   4   3   4   3   4   4 640   3   3 493   4 656 353   4   4   8  13
## [11845]   4 214 344 512   4   5 842   3 533   5   4  31   4   4 227 331   4   4
## [11863] 397   4   6   4   6 361  28   3   3   4   4   4   4  24  59 343   8   4
## [11881] 253   3  41   4   6  30   4   3   6   3   8   4   9   4 364   4   3   4
## [11899]   4   4 805 461  13   4  32  21   4   5 695   3   3  82   3  41   8 788
## [11917]   8   4 152   4   3   4 592   4   3 524   4  31   4   4   8 142   5   4
## [11935]   9   4   8 783   4 672   4  50   4   4 122 876  95   4   8   8   4 851
## [11953]  49 268 846   8   4  84 655   4   4   5   5   4   5   5   3   4 446   4
## [11971]   4   3 258   3   4 323   4 105 422 147   4   4   5  76   9   4   4   4
## [11989]   3   9   4   4   3 399   4   4  71   4   4   4   4   4   8   9 236   4
## [12007] 697  31   4   4 320   4   4 129 848 398   4  17  24   3   4   4   8 875
## [12025] 557   6  81   6   4   4   4  16   4   4   4   8   4   4 597   4 371 244
## [12043]   5   5   4 593  90   4   4   4   5   4   4   4  31   4   3   8   4 770
## [12061]   4   9   8   4   4  31  22   4   8   3   3 520   4 163   4   3   8   4
## [12079]  31   4  47   8 174   4   4   4   4   3   4  13 454   4 542   3   3   3
## [12097]   4   3   4   5 557  18   9 629   4   4   4 535   4   6 296   4   4   3
## [12115]   6 115   4   8   4   9   4   4   5   4   8 258   4   4   5   3 526   4
## [12133] 594   8   8   4   3  70   8   4 579   3   4   5   4   4   4   4   4   5
## [12151]  16   8   4   4   4 601 352   4   4 350 789 578   5   4   4   4   4 631
## [12169]   3   4   8   4   8 251   4   4   4   8 647   4   5   9  44   4  89   4
## [12187]   4  64   3   4   4   4   4 557   6 131  46 254 196   4   4 345   8 167
## [12205]   4 216 471   4   3   4   3   5 353 165 131  96   9   4  31   6   4   4
## [12223]   4   4   4   5 645   4   4  28   5   4   4   4   4   4   6   4   4 366
## [12241]   8 228 539 126   5   8 500  55   4   8   9   4   4   9 778   4   4   4
## [12259]   5   8   5   9   8 211 589   4   4  13   4   4 380   4 590 874   4   4
## [12277]  86 783 292 129   6   4   5   4   4   5   4   5   6   9   4 251   8   8
## [12295]   9 874   4   6   3   4   4   4   4 441   4   3 557   2   4   3 353   4
## [12313] 103   4   4   4   4   4  16   3   5   4   4   8   8 415 606 280   4   4
## [12331]   5   6   4   9 214   3 184   4 620   4   5   8   4   4   6  30   5   6
## [12349] 464   4 350   4 383 565   4   4   4   4   4 206 671   3   4   8   4   4
## [12367] 137 566   4   3 867   4 188   4 262 528 492   4   6   4 762   8   4   4
## [12385]   9 114   4   6   5 522  82 461   4   4   6 870 262  64   4  12  95  31
## [12403] 558 218   4 485   4   9   4   4  55   3   4   3   4  91   4   5   9   5
## [12421]  31   4   4   8   4   4   4   3   4   4   4   4 414   8  31   3   4 242
## [12439] 771   4   4 372   4 458  72   6   4   4  54   4  25   4  30   4   4  21
## [12457]   4   8   4 104 566   4   6  69   4   8 850   4 272   3   6   5 645   4
## [12475] 730 396   8   4   6  19   3   8   4 737 860   4 462  86   4   4   8   4
## [12493]   9   8 549 114   6   4   3 636   4   4   4   4 275   3 246 151   4  79
## [12511]  21   4   4   8   4   8   6   8   4   4 829   3   4   6   6   4   6   8
## [12529]   4   4   4 128   4   6 759   4   8 852  41  77   4 805   4   9  41   8
## [12547]   4   4   4  21  64   4  46  12   4   4  69   4   5   8  30   4   4  31
## [12565]  31   3 171  41  43   4  31   4   4 159   4   6   9   4   4 244  40 349
## [12583] 529   4  31   8  98   4  87   4  31  38   6   4   4   3   4   4   8   3
## [12601]  12   4   4  99   4   4   4 488   6   4   4   3   3   4 226   6   4   8
## [12619]   3 855 510 202   6  99   8   9   3   4  93   6 163 170   4   4 854   8
## [12637]   4   3 448   6   5   4  31   4   8   4   4 549   4  17   8   4   4   3
## [12655]   6   4   8 228 168   4   4   4   4   4   4 835  21   9   4   3   8 357
## [12673] 425   4   5   4  58   5   4   4  31   4   6 122   4   4 142   5 353   5
## [12691]   4   4   3   5   4   4   4 584   8   4   6   4  11   4 663   5   5   5
## [12709] 144   8   4   4   6  31   4 485   6 234   8   4   4   5   4   4 365   4
## [12727]   4   4   4   4   4   4 439   6   8   4   3   4   3   4   4   4   4   6
## [12745]   4 407   3   4   4   4   4   4  36   4 758   3   4   8   4  31 696   4
## [12763]   4   4   4   4   4   5   3   1   4   6   3 112   9 448   4   9   4  72
## [12781]   3   4   4   4 557   4 199   3 791   4   4   4 550   9   8   4 808   6
## [12799]   3   4   3   4   4   4 388   4   6  49   6   3   4  61   4   8   4   4
## [12817] 655   4   4  31   4   3   6 188   9   3   4   5   5   4   4   4   4   8
## [12835]   4   8   5   4 856 488   6   6   3   4   4   4   4   6   6   4   4   4
## [12853]   4 530 532 388 132   8   4   5   4   6 478   5 557   4   5   3   4 361
## [12871] 408   3   4   4   8 395   3   4 436   4   4 599   4   3   4   5  97   4
## [12889]   4   3 297   3   4   4   4   4 857   4   4   4   4  31   4   6   4   4
## [12907] 895   4 164 341   4   4 110   3   6   4   3   6 409   4 434 364   4   4
## [12925] 208   4 780 673   4  75   3   4   4  41  32   3 171   5 159   3   4  13
## [12943]   4   4   4   4 297   9   4   4 223 514   4   3  47   4   4   4   8   5
## [12961]   6   9   8   8   4   3 371   4   4  31   4   8   6   4   5   4   4 863
## [12979]  15   4   3   4   5 190   4 851   4   6   6   6   5 873   4   4   4 181
## [12997]   4   4   4   9 120 309 275   4   4   5   4   3   9   4   4   6   4 560
## [13015] 189   3 163   4   4   4   6   6   3   4 848  24   4   9   4   6   4   4
## [13033]   4   4   4   4   5   4   4   6 498   4   4 650   4 523  31 547   5  31
## [13051]   4   4   4 409   4  31   4   4   3   8   4  41 537   5   4  33   4   4
## [13069]   3   4 765   4   4   3  49   3   4   4   4   4   4   4   4   4   4 636
## [13087]   4 293 629   6   4   4   4   4   4   8   4   4   8   4   6   4  31   8
## [13105]   3   4   4   5   4   9   4   4   3   4   4   4  22 553   3   4   4   4
## [13123]   9 270   3 263 400   4   4 801   4   3   4 745 550   5   4   4   4 557
## [13141]   5   6   4 139   5   1  60   8   4   4 138   3 193   4   4   3   3 467
## [13159]   4   9   4   4   4 595 868   4 557   6  63   4 245 474   8   4   4 811
## [13177]   5  31 214   4   4   5   4   4  31   4   4   9 358   4   4   6   5   3
## [13195]   4 308 443   4   4 310   4   4   8   8  31 266 768  41   1   4   8   4
## [13213]   9   4 539   4   8 578   4   4   4   4   6   5   3  58   4   8   6   4
## [13231]   6  42   6   8   4 808  70   4   4   5   9  61 154 616   5   4   4   4
## [13249]   4   4 165   3   9 268   3   3 489   8  31   4   8   5 138 144 570  31
## [13267]   4 205   4   8  31  31   9  80 170   5   8   3 283 583   3   4   6  28
## [13285] 486   4   4   9 304   6   4   4  30   4 166   4 162 508   5 141   4   3
## [13303]   4   4   4   4  11  68   4  31   3   3   4   8  26   4  31   4   4  49
## [13321] 420   4   4   4   4   4   4   4   4   4   4   4   4 299   4   4 749 578
## [13339] 738 147   4   3   4   3   8   4 447   4   3 879 557 492   4   4   4   8
## [13357] 608   4 150  31   4 813   4   4  36   3   4   4   5   4 107   4 151   4
## [13375]   4   4   3   6   9   4   4   4   4  83  80 129   4   4 142   4   4   4
## [13393] 557   5 632   5  46   5   8   6 872   3   4   4   4  40   3 268   3   4
## [13411]   5  12 198  67   5   4  65 566   4  60   4 690   4   9   9   3   4   4
## [13429] 302  40 219   5 553   3   4   3   4 466   4   8   9   4   4   4 342   5
## [13447]  31 185   4 451 342   4   4   4 882   4   4   4   6   3   4  49   9   4
## [13465] 301   9   5   8  31  31 332   4 195   6   4   4 285   4   4   3   4  72
## [13483]   9   6   4 133 860   6   8 634  31  40   4   3   3   4   4   5  31   4
## [13501]   3   4 436  36   4   3   4   4   6   9   5  47   3   4   4   8 519  63
## [13519] 890 557  14 104  79   4   3   9   8   4 563   8   6   4   1   4   5   4
## [13537]   9   4 134   4   4   4   5   6   4   8  31   4 526   4   4   5   8 278
## [13555]   4 515   4   4   4   3   4   6   4   4   4 158   4   8   6 401   4  39
## [13573]   5   4   4 591   5   4 267   6   4   4 235   4   4   3   4   4 412   4
## [13591] 399   5   4   4   4   4   5   8   3   4   3   4 328   4   4   3   4  87
## [13609]   3 191   6   4   4   9   4   8   3 164   4   4 441   4   5   6   5   4
## [13627] 366   6   4   4   8   4   4   5   4   5   4   4 815 484   5   4   4   4
## [13645]   6 381   4  31   5   4   4   4  10   4   4   4   4   4 233   4   4   3
## [13663]   9   8  31   4   4   6 635   6  31   4   4 682 348   4 141 348   4   4
## [13681]   4 586   4 866   4   4   6   8   5   3   4   4   4 406   4   3  31  31
## [13699] 343   3 562   4   3   4   4   4   6   4 111  31   8   5   5 237   9 344
## [13717]   4   4   4   4   4   4   4   8 574 542   5   4 311   8   4 512   4   4
## [13735]  95 843 205   4   4  31   4   4   4   6 556   4   3   5 814   3   4   4
## [13753]   5  84  24   4   4   8   9   8   5   4   4 440   4   4   5  31 112   4
## [13771]   4 208   4   4   6   6  31   3 235   3 507   6   4   4   4   3 397   4
## [13789]   3 517  78   4   4   3   3 131   4   4   6   8 781 156 123   4   4   4
## [13807]   8   4   4   4   4  11   4 616   4  24   8  98   4  30   8   3   4   4
## [13825]   5   4 253   4   3  26   4  12   4   4 483   5   4   5   4   4   9 259
## [13843]   4   4   4   3 216   4 687  28   4   4   5   4   4  31   4  31   4  40
## [13861]   4   8 469   5   4 821 392   3   4   4 235   4   4   4 240   6   4   8
## [13879]   4 245   8   4   8   5   4 513   4   4   8   4 584   4 284   8   8   3
## [13897]   3 798  59   4 772   4  31   3   8  56   8   5  31 400   3  28  60   4
## [13915]   6 677 342   4   3   4   3   3   4   4   5   3   3   4   4 557   4   4
## [13933]   4   4 649  79   4   8   4   1   3   8   4   4   6  31 372   4   4   4
## [13951]   4   4   4  46 106   9   4 723  97   4   4   3 865   6   5   4 779   4
## [13969] 631  22   4   3   4 181   4 611   4   4   4  56 314   4  41   3   4   6
## [13987]   3  92   4   4   3 361  49   4   4 508   4 407   4   5   8   3  40   4
## [14005]   4   4   4   4   4   4   4   4   4   4   4 557   4  41 452 117   6   3
## [14023]   9   6   5   4   5 355 231   4  60   6   4   5 484   8   4  31   4   4
## [14041] 368   4   4 553  32   4 415   5  14   5 339 506   4 727   4   4 216   4
## [14059]   5   4 374   3 493   4   4   5 293   4   4   4   3   4 432   4   5   8
## [14077]   4   4   4   8   4   4 607   3   4   5   4 595   4   5   4   6 466   5
## [14095] 661   4   6   4   8   8   8   4   6   4   6   4   4   4 466   6   4   4
## [14113]   3   4   4   9 398   4   6   9   4   4   5   5   3 233 199   8   3 236
## [14131]   4 459   3   4   4   4   4   4   4   4   8   8   4   4  31   5   6   6
## [14149]   4  32   4 511   4   4  31 799   4 836 765   8   3   4 576   4 750  50
## [14167]   8   4 211   6   4   3   3  31  84   4   3  31   3 265   4   4   4   4
## [14185] 150   4 341  31   8   3   3   4   4 430   4   4 709 168   4  19   9 557
## [14203]   4   3   4   8   4   5   6   4 888   4   7  31   4   3   4   4   4   8
## [14221]   4  31   4   4   6   4   4   4   8   6   3   4   3   4 576   4   2   4
## [14239] 251   3  41   6 409   4   4   4 503   4 225   9   3 454   4   4 102   1
## [14257]   4  43   5   3 184 132  82   4   4 580  98   4  32 572  58   5   8 143
## [14275]   4  31   8   4   4 679   4 113   3   4   3   6   4  40  31  21   8   4
## [14293]   4   4 407  71  78   3 176 360   5 536   4   4 120   3   4   6 435   4
## [14311] 649   4   6 542 337 581 266  22 263   4   3 857   9   4   4 554   4   8
## [14329]   4   4   4   4   4 169  47  31   8 377  31   4   4 856   4  22   4  28
## [14347]   8 847   9   3  40 557   4   3 100   4 142   4 557   3   4   4   4   6
## [14365] 494   6  31   4   4   4  24   4   3  19 178   3 627   6 880   4   5  85
## [14383]   4   4 530   3   6   4  67   4   4   6   4   8  31   4   5   6 713   4
## [14401]  22   6   4   3 581   4   6   8   5   4   4  98  31   8   9   5   4   4
## [14419]   4   4   4  16   3   5 582 163   5  31   8   4   8   5   8   9   4   4
## [14437]   4   4 129 414   8   4 403   4   3   4   4 409   4   4   4 704   4   9
## [14455]   3   4   4  93   8   3   8   4   4   4   4   6   4   3   4  28  61   3
## [14473]   4   8   4 828   6   6   6   4 412   4 409   5   4 359   4   5   8  49
## [14491]   3   4   4   4 325 241 282   4  23   4 276   4   4  88   4 327   4   6
## [14509]   4   4  31   4   4   4   3  67  13   4   6 822   4   4   4   4   3   4
## [14527] 875   4   4   4   4   3   8   4   6   4 853   4   4   6   9 105   4   4
## [14545]   4   3 852 333 143 261   4  31   6   8  31   3 684   6   4   4  25   4
## [14563]   4   5   4   4   4   4   6   4   5 595   1   4  55 587   9   8 162 892
## [14581]   8   4   4   8   4 292 664   4 416   6   8   4 307 547 571 160   8   4
## [14599]   6   4   4   4   9 339   4   9   3   5   4   4   3   4  31   4   6   9
## [14617]   5   4 192 519   4   3  58   6   4   4 847 203   4  12   8  31 829   3
## [14635]  56   4   5   3   9   4   4   4   4   4   3 228   4   4   9   3   9   9
## [14653] 557   4   4   9   4 168   3   3  44   4  31  51   3   8   4   4 846   5
## [14671] 194   4   3   3   3   8   3   9  31   4   4   4   8   4   6   4  24   4
## [14689] 595   4  26   6  19   6   8 384   4 497   3 324   4   4   4  40 527   4
## [14707]   4   4   4   4   4   3 164   9   3  31   4 143   4 392   4 318  47   8
## [14725]  98   4   3 248 168   4   8   4   4 236   3  10 802   8   4   4   8   4
## [14743] 476  31   4   4   3   4  41   4   5   6   4 133   4   4   4   8   4   4
## [14761]  31 371 839   4   3   5   3   4   3   4  31   4  47 613   4   4   6   4
## [14779]   4  48 328   4   4   4  66  24   4   4   3  32   4  32 870   4   6   4
## [14797]   4  31   4  21 593   9   4   4 568   3   4   4  43 773   4   5   4   4
## [14815] 694   3   4  55   8   2   4   4   4   4   4   4   4  67   4   3 176 102
## [14833]   5   4   4   4   3   3 526 546   8   5 125   3   4   5   8   4   5 105
## [14851] 471   3   4   3   1   4   4   8  31   4   4  35   6   6   5   4   4 707
## [14869] 381 454  47  49   4  31  33 132   5 475   4   4   8   4   9   4  29 455
## [14887]   8   4   4   4   4   3   4   4 129   4   4 517   4   4   3   3   4  82
## [14905] 242   9   4  44   5 279   8   4   5  74   4   4   4  41   4   5   6   6
## [14923]   4   4  31   4 120   4   4  10   4   4   8   6  97   4 570   3   4 416
## [14941]   4   3   4 246   4   4 173   5 442  67   3   4  46   4   4  30   4 189
## [14959] 567 827   4  31   8   4   4   4 368 268   4  79   4   3   5   5   8   4
## [14977]  81   8   4 722   4 300   4   5   4   3   4   4   4 420   3 304   4   3
## [14995]   6   6   4 167   4   8 159   4   4   4   6   3   6   4 574   6   4   4
## [15013] 503  31   4   4   3   4   4   3 105   4 283   4 338 111   4   4   5   4
## [15031]  31  69  49  40   4   4   6   4 830  23 571   4   4  89   4   4   4   8
## [15049]  84   9   4   8   4   9  74   4  31 255   4   6   6   4  58 148   4   5
## [15067]  64   4  74   9  31 617   4  39   4   4   4 321  27 832   8 382  44   4
## [15085]   4   8   9 629  31   4  31   8   4   4   4   8   8 215 804 854  31   8
## [15103]   4   4   3   4   4   5   6 342   3 167   6   3 547   8  63   4   4   5
## [15121] 592   4  99 309   4   8 745  31   4 842   4   4   9 102  24   4   4   9
## [15139]   4  21 348  31  42   4   4   8   8  99 358   8  31   4   4   4   3 455
## [15157] 110  80   5   4   8 618   4   3   6   9   4   9   4  31   4 536 579   4
## [15175] 318   6   3   4 207   4   3   4  66 663   9  24 591 342   5   9  38   4
## [15193]   4 734   4   8 190   3   4   8   4 175   9   4   4   4 868 674   3 562
## [15211]   6 534   4   6   3   4   4   4   6   9 831 583   8  21  54   4   4 791
## [15229] 306   4   5   4   4  67   4   4  21 351   4   4  32   8   8   4   4   3
## [15247]   4   4   4   3   4   6   4   4 591   4   4   4   4   6   4   6 428   4
## [15265]   8   4   4   4   4   4 557   9   8   4   8   4   4   4   3 101   4   9
## [15283]   4 347 523 362 100   8   4 215   4 828   4   4   8   4 308   3   8   8
## [15301]   4   4   4   6   4   5   6 862 343   4   4   3   8 414   4 802   3   4
## [15319] 481   4   4   4   8   6   4   4   4   4   6   4   4   6   3 123   4   4
## [15337]   4   5 656   8  49 702  31   9   4   4   8 269   9 278   3   6   4   9
## [15355]   4 424   3   4   4   4   3  13   4   4   4   4  31   6   3 146   4 143
## [15373] 154   4   4   3 129 377   5   4   6   4 237 145   4   4   4   4   5  31
## [15391]  19  40 389 258  31   4  24 189   4   4  32   5  31 327   5   4   4   6
## [15409]   3   4  31 166   4  11   3   3   4   4   8   5   4 103 823   4 487   4
## [15427]   4   4   4   4   4   4   4 841   5   4   4   8   4   4   4   4   4   4
## [15445]   3   4 216   4   4 204   9  31   3   4   3 565   4   4   5   4   4   4
## [15463]   4   4   3   4   4   3   5   3   4  82   4   4   4   4  57   9  96 641
## [15481]   8   3   5   3   4   6   3   4   8 459   5 151   4  24   4 345   4 493
## [15499]   4 225 155  55   8   4   4   3   4   4   4   5  99   9   4 246   4  26
## [15517]   6  36   4   3 445   4   5 233   4   3   4   4   4   4   3  92   9   4
## [15535] 840   4   9 241   4   4   4   6   4   3   4   4 454   8   6   4   4   4
## [15553] 557   4 855 201  31   4   4   3  41   4   4 123  24   4   4   5   9 352
## [15571]   4   5 138   4  54   4   4   4 149   4  31   4 638 134   4 465   5 459
## [15589]   4 742   9 246   4   4   4  18 578   5   4  44   5 313 883  30 440  67
## [15607] 156   4 876   5   6 402 366   8 381  24 557   4   4   4   5   3 863   4
## [15625] 820 155   4   4   4   8   3   3   4 111   6   6   3 757   8   6 812   4
## [15643]   4   3 466   4  55  10   6 247   3 369   4  31  24   4  80   8  72   3
## [15661]   3   4   4   4   4   4   4 352   4   4  31 714   3   4   8   4   4   4
## [15679]   4   4  80   4   6   6   3 363   4 245   4  62   4  31   4 777 583 278
## [15697]   3   4   9   3   3   4   4   4   3   4 165   3   4   4   4   4 811 748
## [15715]  12   4  83  27   9   4   4   4 767 468 786   4   4   4  95   4 868   8
## [15733]   4  87   4   3 864   3  32   4  28   4 460   4 817   4   4   4   4   4
## [15751]   4   4   6   6 588   5   4   4 239   4   6   6   4 861   4 769   3   4
## [15769]   3   4   4   5   4   9 252   4   5 349   8   4   4 187  99   3  50   8
## [15787]   6   4   3   5   4   4  67   9   9   4  31 212   4   9   4   4 195  50
## [15805]   4 566 831   4   4   4   4 320   6   4   4   6  42 557   4 218  10   4
## [15823] 578   4  31   4   3   4   4 716   4 355   5  23  93   4  41   4   4   3
## [15841]   9   4   3 816   4  31   4 816   3   4   4   1   3 286   4   4   4  28
## [15859]  31   4   4   9   4   3   9   4   3  65  97   8   4   5   4 498   3  18
## [15877] 434   4   4   4   4   4   8   4  55   3   4   4   4   8   5 872 524 366
## [15895]   3 240   8 352  41 387   3   8   5   4   4   3   4   6   8   4   3 596
## [15913]   4   3   3   9   4   6   4   4  14 264   5   3   9   4   5   4   2 782
## [15931]   5  31   8 391 122 386   5   8 383   4   3  19  36   4   8   4   4   4
## [15949]  31   4   4   4  21 865   4  29   6   4   3   3 241 449 855  81   9 330
## [15967] 557   4  40   4   5   8   4   4   9   4   5 452   4   3   4   4 287   4
## [15985]   4   3 179   4   4 609   3   4   4  40   4   4   6 459   4   4   4   4
## [16003]   4 552   4   4 140   3   6   3 837   4   4   3 226   9   4   4   8 315
## [16021]  67  90   4   8 561   3   4   4   3  37 464   5   4   4 544   6   4   4
## [16039]   3   4   4  50   5   4   4  55   5  87 109  31   4   4   4   3   6   3
## [16057] 272   4   4   8 270   4 501 451   4   6   4 554   4  31 483   6   4   8
## [16075] 304   5 213 877   4   4   8  19   6   4  55   4 465   8 201  31   4   9
## [16093]   5   6   4  31   4   8 146  31 121 518 660 161   4   6 236   3   4   4
## [16111]   9  15   4   4   4 312   4   4   4   6 613   4   4   4  63   4   4   6
## [16129]   4  57   4   4   8 590 104   8 189 564 157   4   5 732   4   4   3   4
## [16147]   4   8   4   8 409  15  61   8   4   5   3   4   4   8   4   6   3   4
## [16165]   4 299   4   4   3   4   6 600 535   4 659   4   4   4 560   4   8  56
## [16183] 822  31   4   4   4 426 148 556   4   2   4 750 206   3 562  67   3 369
## [16201]   4   4 469   3   5 434   4 155 881   4   4 119   8   3   8   4   4 424
## [16219]  31   4 583   3   3  11   4   4 662   4 495   4   5 557   4   6   4 215
## [16237]   4   4   8   3   6   3   8   4  31   4   8   3   4 873   8   8   4   4
## [16255]   3 649  41  38  64 644
kcore <- coreness(nx, mode="all") 
threecore <- induced_subgraph(nx, kcore>=3)

V(threecore)$color
##    [1]   4   4   8   6   4  31   4   8   4   4   4   6   4   4  22   6  12   4
##   [19]   4   8   4   6   3   5   9   5   4   8   6   4  21   2   5   9   4   8
##   [37]   8  68   4   4   4   3   8   3   8  31   4   4   8   5   8   4   4   4
##   [55]   5   9   9   8   5   3   4   4   4   4   4   4   4   8   4   4   4   4
##   [73]   6  31   4   4   4   4   4   4   4   8   4  31  30   4   4   6   8   4
##   [91]  31   4   4   4   3   3   4   4   5 409   4   3   4   4   4   4   4   9
##  [109] 104   4   4   4   4  31 462   9   3   4   8   4   4   8   4   4  87   4
##  [127]  41   5   4   9  95   4   4   4   4   4   4   4   4   8  31   4   4   4
##  [145]   4   4   4   4  31   4   4 261   4   8   4   4   4  16  31   4   4   4
##  [163]   4   5  31 393   8   4   3   4   4   4   8   4   4   4   4   4   4  11
##  [181]   4   4   4   4   4   4   4   4   4   8   8   7   5   4   6   4   4   8
##  [199]   4   4   4   4   8   5   4   4   4   8   4   3   4   3   6 556   4   4
##  [217]   6   5   4   6   4   4   4   4   8   3   4  55   4   4   4   4 236   4
##  [235]   8   9   4   4   4   3   4   8   4   4   3   4  31   4   4   3   4   6
##  [253]   6   4   4   4   4   4   4   6   4   4  31   4   4  31   3   4   4   4
##  [271]   4   4   4   8   4   4   5  31  48   8   4   4   4 103   4   4  68   4
##  [289]   4   4   4   3  46   8   6   4   4 142   8   4   4   3   4   4   8  31
##  [307] 163   4  31   8   4   4  84   4   4 460   3   3   4   3   4   4  30   5
##  [325]   4   8   8   4   3   4   3 397 115   3   4   4   1  31   4   9   4   9
##  [343]   4  13   4  31   4   3   4   4   4   4   3   4   4   4   9   4   9   4
##  [361]   4   4   8   4   8   4   4   4   8   3   4   4   9   8   4   4   4  24
##  [379]  41   8   4  31   4   3   4   4  55   3   4  53   4   4   3  31   4   6
##  [397]   4   4   4   6   4   4   4   3   3   4   8  27  31   4   4   4   4   9
##  [415]   4   4   4   4   4   4   4   4   4   3   6   4   4   4   6   4   4  31
##  [433]   5   4   4  40   4   4   6   4   4   4  31   3   4   4   4   4   8   4
##  [451]   4   4   6   4   4   4 292   4   4   4   4   3   4  31   4  31   9   4
##  [469]   8   4   4   1   8 204  31   8   4   6   8  12   6   3   4   4   4   4
##  [487]   3   4   4   3   5  52   3   4  31   4  28   4   4   8   4   6   8   8
##  [505]   4   8   5  31  94   4   4   3   4   4   4   4   4   4   4   4  21   9
##  [523]   6   7   8  31   4   4   6   4  31   9   3  21   4   5   4   3  31   8
##  [541]   4   3   8   8   4 204   3   4   5   4   4   4   3   4   8  31   4   4
##  [559]   4   4   4   4  41   3  31   4   4   4 557   4   6   4  31   4   6   3
##  [577]   4   3   3   4   4   4   4   4   4   4   4   6   4   8   3  31 165   4
##  [595]   4   4   3   8   6   8   4   4  31   3   8  31   4   4  13   6   4   4
##  [613]   8  31   8   6   4   4   3   3   6   4   4   4   3   4   4   9  31   4
##  [631]   4   5   4   4   4   4   3   8   4   4   8   4   4   4   5   4   4   4
##  [649]   4   4   4 170   3   4   4   4  31   4   4   4   8  28 235   6   5   4
##  [667]   4   8 466   4   4   4   4   3   8   4   4   4   4   4   9   4   4   4
##  [685]  24   4   4  31   4   4   4   8   9  41  31   3   4   4   3   4   3   8
##  [703]   8   4  31   4 228   3   3  52   4 257  31   4   3   9  31   4   4   4
##  [721]   4   4   8 342   4   4   4   4   4   9   4   8   4   4   8   4   3   4
##  [739]  13  31  31   4   3   3  31   9   4   4   8   4   4   7  31  67   5  31
##  [757]   6   3   4   4   3   4   3   4  31   4   6   8   9   4   4   4   3   4
##  [775]   2   4   1   4   4   3   4   4   4  31   3   5   6   4   4   4   4   4
##  [793]   4   4   4   4   3   3   6   3   4   4   4 235   4   8   4   8   9  31
##  [811]   4   4   8  33   8   4   4   4   9   5   4   4   4   4 330   4   4   4
##  [829]   8   6   4   3   4   8   4   4   4   4   4   3   5  31   4   3   3  10
##  [847]   4   8   3   4   4   4   8   6   9   3   4   4   8  31   3   4   4   4
##  [865]   4   4 493   4   8   4  31   4   6   4 170   3   3   4   4   3   6  31
##  [883]   4   4   4   3   4   4  31   8  56   3   4   4   4   3   4   6   3  31
##  [901]   3   3   4   4   4  53   4   9   4 214   4   4   4   4   4   4  32   4
##  [919] 330   4   8  31   4   3   4   4   4   8   9   4   4  27   4   5  72   4
##  [937]   4   6   3   4   4   5   4   6   4  31   4   5   4   8   3  28   3   4
##  [955]   3   4   8   4   4 554   3   9   4 554   4   6   4   4   4   4   4  32
##  [973]   4   4   4   4  31   6  16   4   9  31   4   4  21   4   4   4   3  49
##  [991]   4   4   4   4   3 409   4   4   9   4  60   4   4   9   4   4   9   4
## [1009]  31 175 554 409   4   4   4   6   6   8 554   4   4   4   6   4   8   8
## [1027]   4   4  98   4   4  31   5   4   4  31   4   3   4   4   4   4   4   4
## [1045]   4   4   9  31   4   3   4   4 343  31   8   4   6   4   4   4 486   3
## [1063]   5   6   4   8   8   4   4   4   4   4   4   4   4   3   4  31   4   4
## [1081]   5   4   4   3   5 392   4   4   9   9   3   4   8   4  54   3   4   6
## [1099]   4  31   4   3   9   4   4   4   4   7   4   4   4   4 184   4   4   6
## [1117]   4   4   4   4   9   4  31   4   6 470   4   4   4   4   3 184   4   4
## [1135]   4   3   8   3   9 125   4   5   3   4   4   3   9   5   4   4   4   4
## [1153]   5   4  31   5   4   4   4   4   4   5   4   3   3   3   5   4   4   4
## [1171]  85   9   4   4 198   4   5  31   4   4   4 248   3   4   4   4  21   6
## [1189]   4  31   4   4   4   4 556   4   4   4   4   4   4   3   5   3   4   4
## [1207]  32   4   5   4   4   3   8   4   8   4   4   5   4   4 552  31  30   4
## [1225] 409   4   4   5   4   4   5   4   8   8   4   3   4   4   3 202   4   3
## [1243]   6   8   4   4  31   4   5   3   4   4   5   5   4  41   4   4   9   6
## [1261]   4  47   4   4  21   3   4   8   4   4   4   4   4   4   3   4   4 179
## [1279]   6   8  10   6   4   4  98   4   4   4   3   4   4   4   4   4   4   4
## [1297]   4   4   4   4   6  31   3   8   8   4   4   3   4  72   4   9   9   3
## [1315]   4   4   5   6   8   4   4   4  31 167   3   4   4   6   6  31   5  21
## [1333]   3   3   4   8   3   4   6   4  31   3   4   3   4   9  31   4   6   4
## [1351]   4   5   5   4   8   4   8   9   4   4  31   4   6   4   4 393   8   4
## [1369]   4   4   4   6   4   4   4  83   4   4   4   4   5   8   4  31   4   4
## [1387]   4   4   4   4   4   6   3   4   5   4   4   4   3   4   4   4   4   4
## [1405]   4   4  82   3  21   4   4   4   4   4   4   4 165   4   3   4   4   4
## [1423]   3   4   3   3   4   4   4   5   4   4   4   4   4   8   4   4   4   4
## [1441]  31   8   3   3   4  85   4   3   3 552   4   4   4   4   4 222  28   3
## [1459]   4   4   4  31   6   6  31   4   4   4   4   3   8   8   4   4  31   3
## [1477]   4   4   4   4 125   4   4   4   4  31   3   4   6   4   4   6   4   3
## [1495]   3   4   4   6   4   5   3   4   4   4   5   6   4   4  31   9   4 406
## [1513]   4   4   5   4   6   9   8   8   6   4   4   3   4   6   3   4   4   3
## [1531]   4   4   4   4   4   4   4   3   4   4   4   8 185   4   4   4   4   4
## [1549]  83  31   4   6   4   4   9  13  31   4   3   4  13   5  32   3   3   6
## [1567]   4   5   4   5   4   4   5   4   3   4   4   4   4  31   4   5   4   4
## [1585]   8   4  94   4   4   4   4   4   4   3 330   4   4  46   4   8   4   4
## [1603]   4   4   4   4   3   4   4   4  31   3   4   4   3   4   4   6   8   4
## [1621]   4   4 540   4   6   4   8   8   4   4   4   9   3   4   6   4   9   4
## [1639]   4  98   4   5   4   4   4  94   4   4   8   4   3   4   4   4   4   9
## [1657]  31   4  68   4   3   4   4   5   4   5   3   4   4   4   4   3   8   4
## [1675]   4   5   4  67  31   4   6   4   9  31   3   4   4   4   5   4   9   6
## [1693]   3   4   4   4   4   8   4   4   3   9   3   4  19   4   4  21   5   4
## [1711]   4   4   8   3   8   4   4   4   4   4   4   4   6   4   8   6   8   4
## [1729]   3   6   4   3 198   4 214   4   4   4   4  24   9   4   4   4   4   4
## [1747]   4   4  52   4   4   6   9   6   6   3   5   5   4   4   3   4   4   4
## [1765]   9   4   4   8   6   4   4  67   4   4   8   4   6  31   5   4   4   4
## [1783]   4   4   3   4   4   5   5  31   9   4  31   4   4   4   6   4  46   4
## [1801]   4  31  31   4  32   3   4   3   4   3  67  31   3   4   3  31  24   4
## [1819]  31   4   6   4   4   3   4   4   4   4 553   4   4   4   4   4   4  31
## [1837]   8   4   4   5   4   8   4   4   9   6   8   8   3   8   4   8   5   4
## [1855]   4   4   4   8   6   4   4  43  31   4   4   4 222   4   5   4   4   4
## [1873]   4   4   4   5  11   4   4   5   8   4   3  24   8   4   4   8   8   8
## [1891]   8   3   4   4   4   4   4   4   4   4 214   4   6   5 297   4   5   4
## [1909]   4   4   4   4   4   4   4   3  31   8   4   4   4   3   4   4   4 235
## [1927]   6   7   4   4 587   4   4   4   4   8   4   4   4   4   5  21   4   4
## [1945]  57 414   4   4   4   4   8   8   4   4   4 236   4   4  31   4  41   4
## [1963]   3   4   4   5   4   4   3   4   5   4   4   4   8   4   4   4   4   3
## [1981] 110   6   4 163   3   4  31   5   5   4   4   4  31   4   4   4   8   4
## [1999]   4   4   5   4 425  31   6 493   3   4   4   4   4   3   4   4   4   4
## [2017]  31   4   3   4   8   4   4   4   4  31   4  31   4   4   3   4   5   4
## [2035]   4   3   5   3   5   4   4  31  72   4   4 104   4   4 524   3   3 185
## [2053]   4   4   4   3   3   4   4   3 277   4   4   4   4 140   4   8   4  31
## [2071]   4   4   4   4   6   4   4  31   4   4  31   4   4   4   5   8   4   4
## [2089]   4   4   4   4   4   4   4   4  31   4  31   4   4   4   4   4   6   8
## [2107]   4   4   4   4   3 587   4   3   9   4  22  31 355   4  96  27   6   4
## [2125]   6   9   8   8  31   4   4   4   8 237   4   4   4  49   6   5   4   3
## [2143] 228   4   4   4  31   6   4  31   4   8   4   4   5   4  19   4   4   8
## [2161]   5 297   3   4   5 454   4   4   4   8   8   4   4   4  31   4  31   4
## [2179]   3 379   4   4   4   3  31   4   3   8   3   8   4   4   4   4   6   6
## [2197]   4   3   6   8   4   8   4   4   8   5   4   4   4  31   4   4   4   4
## [2215]  42   4   4   4   3  31   4   4   4   4   4   4   4   4   4   4   4   3
## [2233]   4   4   3   4   4   4   4 104   4  31   4   4   4   5  31  49   4  31
## [2251]   4   4   4   8   4   5   4  28   5   4   4   4   4   8   6   8   4   4
## [2269]   8   4   4   5 181   4   8   8   4   4   4   4   8   4   4   4   4   4
## [2287]   4   4   5   4   4   4   4   6   4   3   4   4 148   3   4   8   8   6
## [2305]   5   4   4   5   5   9   4   3   4   8   3   3   4   3   3   4   4   9
## [2323] 110  31   4   4   4   4   5  31   4   4   4   4   3   8   4   4   4   4
## [2341]   4   9   4   4 168   4   4 142   6  11   8   4  30   5   4   4   4   8
## [2359]   4   4   4   3 128 554   6  21   4   4   4   3   4   4   4   3   4   6
## [2377]   4   4   4   4   4   4  31   4  33   6   4   4   9   6   4   3   3   4
## [2395]  31   4   3   4   4   4   4   4  31   5   3   6   4   9   4   4   6   4
## [2413]   4   4   4   4   4   4   4   4   4   4   6   9   6 277   4   5   4   4
## [2431]   3   3   4   8   6   4   9  31   4   3   4   4   3   6   6   4  12   4
## [2449]   8   8   8   4  31   8   3   4  31   4   3   4   4   4   8   4   8   4
## [2467]   3   3   3   4   8   4   3   3   4 524   4   5   4   4   4   4   4   8
## [2485]   4   4   6   4   4   6   4   4   4   4   4   4   6   4   4   4   4   4
## [2503] 204   1   4   4 330   4   9   5   5   4   4   4   4   4   4   4   8   4
## [2521]   4   6   4   8   6   4   4   4   6   4   4  56   4   4   4   4  46   4
## [2539]   4   4   8   3   4  92   4  31   4   4   4   4   8   8   4   4   3   4
## [2557]   4   4  31   4   4   4   8   4  82   4   4   6   6  31 280   4   4   6
## [2575]   4   6   5   4   4   8   4   4   4  31  31   8   6   4   8   4   4   5
## [2593]   4   4   4   4   4   4   4   4   4   6   4   4 460   4   4   4   6   6
## [2611] 220   8   4   5   4   3   4   8   5 379   4   3   4   4   3   4   4   4
## [2629]   4  21   8   5   8   4   6  84   4   4   5   6   4   5   4   4 554   4
## [2647]   4   4   4   4   4   4   4   4   3   4   4   4  31   8   4   6   5   5
## [2665]   4   4   4   4   4   4   4   3   4   4   8 433   3   4   4   3   3   4
## [2683]   8  46   4   4   3   3   4   5   4  31   3   4   4   4   4   8   4   4
## [2701]   8   4   4   4   4   5   5   3   3   4   4   4   6   6   4   3   4   4
## [2719]   4   8   4   4   4   4   4   4   4   4   4   4   4   4   4   8   6   5
## [2737]   5   4   4   4   4   4   8   4   4   9   8  31   4   4   3   5  23   3
## [2755]   3  31   4   4   9   4   4   6   4   9   4  31   6   4   4   4   4  31
## [2773]   3   8   4   4  49   4 493   3   4  31   6   4   9   3   4   4   3   4
## [2791]   4   8   4  96   8   4   4   4   4 383   4   5   4   4   4   4   5   4
## [2809]   4   4   8   4   9   3   6   4   4   6   8   8   4   4   4   4   5   4
## [2827]   4   4   4   4  10   4   3   4  31   4   3   4   5   4   8   4   4   4
## [2845]   4   4   4   6  67   4   4 540   4   4  31   4   4   4  31   4  72   4
## [2863]   4   3   4   8   4   4   4  28   4   4   4   4 269   3   8   4   6   4
## [2881]  96   4   4   3   4   4   3   4   4   4 105   4   4   5   5  41   4   4
## [2899]   4   4   5   3   3   8   4   6   6   4   4   3   4   4   4   4  31   4
## [2917]   3   8   4   4   4   8  84   4   4   8  56   8   5   8 166   4   4   4
## [2935] 142   6  31   4   8   4   8   4   4   9   4   4   4   6   4   6   3   4
## [2953]   4   4   4   4   4  41   4   4   4   8   6   3   4   8   8   4  82  31
## [2971]   4   8   8   4   4   6   4   4   8   6   6   4   6   4   4 546   3   4
## [2989]   4   4   4   4   6   4   4 414   4   4   5   4   4   8   3   4  40   4
## [3007]   4   6   4   4   4   4   6   9   5   4   3   4   4 258   8   6   5   4
## [3025]   4   4   4   6  24   3   4   4   4 297   5   4   4 553   4   4   4   4
## [3043]   6   4   8 401   6   4   4   5   4   5   4   5  31   4   4   4   4   4
## [3061]   4   8   4   4   4   4   4  49   4   5   6   4   4   4   3   8   3   6
## [3079]   9   4   4   3   4   4   3   5   4   8   5   8  55   4   3   4   4   5
## [3097]   4   4  41   6   3   6   9   4   4   8   4   4   4   4   4   4   4   3
## [3115]   4   4   4  24   4   4   4   4   4   4   6   3  31  31   4   4  56   4
## [3133]   4   9   8   4   8   3   4   5   4   9 333   9   4  24   3   8   3   9
## [3151]   4   4   4   6   4   4  31   6   4   4   5   4   3 297   4   3   5   4
## [3169]   6   4   9   4   4   4   4   4   4   4   4   3   3   4   4  31   8  31
## [3187]   4  31   4   6   4   4  31   3   4   4   8   8   6  21   4   4   8 414
## [3205]   5   6  57  31   4   3   4   4  58   4   4   8  60   4  31   6   4   4
## [3223]  41   6  31  31   8   4   4   6   3   4   6   4   4   4   4   4  31   4
## [3241]   8   4   4  31   8   4   5   4   3   4   4   6   4   4   3   4   4   3
## [3259]   5   8   4   4   4   8   4   3   8   4   5   4 342  31  49  52   8   4
## [3277]   4   4   4   4   4   4   4   3   4   4   4   3   9   4   4   4   4   9
## [3295]   4   9  31   4   4   5   4  31   4   4   4   9   4 379   4   4   4   3
## [3313]   8   4   4   6   4   4   4   8   8   4  31   9 401   4   4   4   4   4
## [3331] 189   3   4   8  31   8   3   4   6   8   4   5   4 553   4   4   1   8
## [3349]   4   4   4   4   4   4   3   4   4   4   4   5   4   4   4   9   4   4
## [3367]   8   9  16   8   4   4   6   4   4 438   4   4   4  31   4   4   4   3
## [3385]  31   4   9   9  31   3  72   4   4   4   6   8   3   4   6   3   4   3
## [3403]   4   4   3   8   6   8   4  11   6   3  31   4   3   4   4   4   6   4
## [3421]   4   4  67   4   8   5   8   6   4   4   4  31  32   4   4   8   4   4
## [3439]   4   4   6   4   3  21   4  31  67   9   4   3   4   6   4   4   8   8
## [3457]   4   4   8   4   4   4   4   4 546   4   4  24   8   4   4 493   3   6
## [3475]   4  72   3   4   4   4  56   4   4  24   4   4   4   6   4  31   5   6
## [3493]   4   4   3   6   3   4  31   3   4   5   4   9   6   6   4   4   4   4
## [3511]   4   9   4   4  31   4  31   3   4   3   4   4 406   4   4 556  19   5
## [3529]   3   3  31   4   5   8   4   4  21  28   3   4   3   4   3   5   4   4
## [3547]   3   4   8   8   4   3   8   4   4   4   6   5   4  31   8   4   4   4
## [3565]   4   4   4   4 460   4   4  31   4   4   4 236   8   4  82  31   4   8
## [3583] 342   4   3   4   3   8   4   4   4   4   4 145   6   3   4   4   9   4
## [3601]  31  52   4   4   4   8  19   4   4   4   8 342   4   4   3   4   3   4
## [3619]   4  31   6   4   4   4   4 275   3   4   4   4   4  67   4   3   6   4
## [3637]   4   5 214   4   4  23   9   6   8   4   4   4  21   4   4   4   6   5
## [3655]   8   8   4   4   4   4   6   4   3   4   4   5   4   5   4   4  31   5
## [3673]   4   4   4  31   4   3   4   5   4   4   6   4   4   4  73   3   8   8
## [3691]   4   4  30   4   6   3  31   5   4  60   6   4   3   4   4   4   4   4
## [3709]   4   4   4   8   4   4   4  31   4   4   6   4   4   4   6   4   4   3
## [3727]   4   6  40   4  28   4   3   4  43  12   4   8   4 214   4  24   4   4
## [3745]   8   4   3   4   4   4   3   4  31   3   3   8   9   8   4  41   3   4
## [3763]   4   3   4   4   9 184   4   4   4   4   5  31 392   4   3   4   4   4
## [3781]   3   4   4   4 129   4   8  31  41   3   4   4   8   4   4   4 383   8
## [3799]   4  31  40 292   4  31   4   4  31   4   4   9   4   5   4   4   4   4
## [3817]   4   4   4   4   8   3   5   4 333   4   3   8   3 105   8   4   4   4
## [3835]   6   9   4   4   4   4   4   3   4 383   3   3   4   4   4  31   8   4
## [3853]   3   4   8   4   8   4   3   4   4   4   4   8   9 434   4   8   4   4
## [3871]   4   4   4   4   4  58   4   4   5   4   3   3   4   8   8   4  31   4
## [3889]  31  67   6   4  31   4   4   3   4   6  31   4   6 414   4   5   4   6
## [3907]   3 237  31   4   8   3  31   3   4   4   4   3   4   4   4   3   4   2
## [3925]   4   4   6   9   6   4   4   4   4   4   8   6   4   4   3   4 554   4
## [3943]   4   4   4   6   4   4   4   6   4   4   6   4   4   6   4   4  31   4
## [3961]   4   4   4   4   9   4   3   8   8   5   4   8   5   4   3 434   8   4
## [3979]   4   4   3   4   4   4   4   3   4   4   4   8   4   4   6   4   6   4
## [3997]   5   8   4  31   3  49   4   3   4   3   3   8   4   4   4   4  31 235
## [4015]  52   5   4   4   4  31   4   3  31  31   4   4   4   8   4 184   3   4
## [4033]   4 328  94   4   4   6   6   8  31   4  43   4   4   4   4  67   4   4
## [4051]   4   3   4   4   4   4   4   8   8   4   4   4   4   6   4   4   4   5
## [4069]   5   8   4   4   4   4   4   3   4   4   3   4   4   8   4   8   4   9
## [4087]  31   4   5   4   8   3   4   6   4   3   4   4   4   4   4   4   4   8
## [4105]   4   4  31 242   4   4   4 258   6  31   9   6   4   8   4   4   4   4
## [4123]   3   3   4  31   3  31   5   6   4  79   4   4   6   4   3   4   3   4
## [4141]   4   4   5   3   4   4   4   4   6   4   8   5   4   4  28   4   3   4
## [4159]   3   3  21   6   4  49   8   4   3  40   4   4   4   4   4   4   3   4
## [4177]   4   4   5   4   4   4   4   4   4   3   5   6   8   4   4   4   4   8
## [4195]   4   4   4   4   4   3  31   4   4   4   4   5   3 342   4   4   4   4
## [4213]   3 275   4   6  31   4   4   4   4   4   4   4  10   4   4   4   4   4
## [4231]   4   4   4   4   4   6   5   4   4 330   3   4  31   4   4   4   4   4
## [4249]   4   8   4   5   3   4 553   4   4   4   9   4   4   3   4   4   4   3
## [4267]   4   4   3   4   4   8   4   4   4   4   4   4   4   4   4   5   3   4
## [4285]   4   4   4   4 208   8 250   4   6   4   4   4   4   4   9  31   4   4
## [4303]   4 379   4   3  11   4   9  58   6 397   4   8   4   4   6   3   4   3
## [4321]   4   4   4   4   4   9   4   3   3   4 397  32   4   4   4   9 406   4
## [4339]   5   8 466   4   4   8   8   4   4   4   9   4   5   4   4   9   8   8
## [4357] 566   4   4   4   4   4   4   4   4   4   4  72   4   8   4   4   6   3
## [4375]   4   4  31   8   4   4   4   6   4   4   4   6   4   4  31   4   5   4
## [4393]   3   4   4   4   6   4   4   5  31   4   4 163   4   4   3   4   4 491
## [4411]   4   5   4   4   4   4   4   4   4   4   4   4   3   8   4   3   4   4
## [4429]   4   6   4   4   4   4  60   4   4   4   4 414   4   3  27  98   4   4
## [4447]   4   8 184   4   4   4   4   4   8   8   9   6   4   8   4   4   4   4
## [4465]   3   8   4 208  12   4   4   4   9   3   3   4  31   4   6   4   4   4
## [4483]   4   8   4   4   3   5   3   4 454   8   4   5   3   8 527 493   8   4
## [4501]   4   4   4   3   3   4   5   4   5   4   3   4   8   4   4 236   4   4
## [4519]   4   9   4   4   3   5   4   3  31  72   3   4   6   6   4 197   8   4
## [4537]   5   4   4   8   8  31   3   3   4   4   4   4   4   4 242   4   4   6
## [4555]   4   6   4   4   4   4   4   3   4   8 460   4   4   5   4   8   4  41
## [4573]   8   8   9   4   4   5   4   4   4   4   4   5  31   4   3   6  24   4
## [4591]   4   4  72   4   4   4   5   9   4   4   4  31   3   8  31   4   4   4
## [4609]   4   3   4   4   8   4  31   4   3   4   5   4  31   4   4   4  28   4
## [4627]   3   6   9   8   6   5  31   9   4  31 553   8   4   4   4   4   4   4
## [4645]   4   3   4   4   4   8   4   4   4   8   4   4   4   4   3   4   4   6
## [4663]   4   8  31   4   4   4   3   3   4   3   4   4  32   4   4   4 104   1
## [4681]   8   6   4   4   3   4   3   4   3   3 493   4   4   4  13 214 512   4
## [4699]   5   3   4   4   4   4   6   3   3   4 343   8   3   3   4   4  13   4
## [4717]  21   4   5   4   3   4   4   3   4   4   5   9  95   8   8   4  49   8
## [4735]   4   4   4   5   3   4   4   3   4 105   5   4   9   4   4   4   4   4
## [4753]  31   4   4   3   6   4   4   4   4   8   4   4   5   4   4   4   9   8
## [4771]   4  31   4   3   4   4  31   4   4   4   3   4   4   3   3   3   4   4
## [4789]   4   4   4   4   6   4   9   4   4   8   4   8   4   4   4   4   4   4
## [4807]  16   8   4   4   4   4   3   8   8   4   4   4   6 254   4   8   4 131
## [4825]  96  31   6   4   5   4  28   4   4   4   8 228   8   4   8   4   8   5
## [4843]   9   8   4  13   4   4   4 129   6   5   4   4   5   4   5   6   4   4
## [4861]   4   4   2   4   3   4   5   4   8   4   5   4 214   5   8   5   4 383
## [4879]   4   4   4   3   4   8   4 137   4   4   4   4   4   4   4   6  64  12
## [4897] 218 485   4   4   4   4   9   5  31   4   4   4   4   4   8  31   3   4
## [4915] 242   4   4   4   6   4  54   4   4  21   4   8   6   4   3   6   4   8
## [4933]   4   6   4   6   4   3   4   3   4   4   4   8   4   4   3   6   4   4
## [4951]   4   4   4   4   4   9   4   4   4   4   4  31   3  41   4  31   4   4
## [4969]  31  98   4  87   4  31   4   4   4  12   4   4   4   4   4   3   4   4
## [4987]   8   3   9 163   8   4   5  31   4   4   8   3 228   4   4   4   4   4
## [5005]   8   5   4   5   4  31   4   5   3   4   4   5 144   8  31   6   8   4
## [5023]   4   4   4   4   4   4   8   3   4   4   4   4   4   4   4   4   4   4
## [5041]   3   4   4   4   4   4   4   6   4   4   4   4   8   4   4   3   4   4
## [5059]   4   3   4   8   4   4  31   3   6   9   4   5   4   4   8   8   5   4
## [5077]   4   4   4   6   4   4   4   6   4   5   3   4   4   3   3 297   4   4
## [5095]   4   4   4  31   4 110   3   4   3 434   4 208   4   4   4   5   4  13
## [5113]   4   4   4   4   4   3   4   4   4   6   4   3  31   4   6   4   5   3
## [5131]   5   6   5   4   4   4   4   4   9 275   4   4   4   3   9   4   4   6
## [5149] 163   4   4   6   3   4   4   4   4   4   4   4   5   6   4   4   4  31
## [5167]   4 409   4   4   3   4  41   4   4   4   4   4   3  49   4   4   4   4
## [5185]   6   4   4   4   4  31   4   5   4   4   4   4   4   4   9   3   4   4
## [5203]   4   4   5   6   4   8   4   4   4   3   4   4   8   4   4   5  31   4
## [5221]   4   4  31   4   4   6   3   4   4   8   1   4   8   4   4   4   4   3
## [5239]   4   8   6   4   6   8   4   5   9   4   4   4   3  31   4   8   5  31
## [5257]   4  31  31   8   6   6   4   4   5   4   3   4   4  68   8   4  31   4
## [5275]  49   4   4   4   4   4   3   4   3   4   4   3 557   4   4  31   4   4
## [5293]   4   4   4   6   4   4   4   4   4   4   4   5   8  40   3  12   4   4
## [5311]   4   4   4   4   4   4   9 342   5 185   4   4   4   4   4   6   4   9
## [5329]   4  31  31   6   4   4   3   4   9   6   4  31   3   4   4   5  31   4
## [5347]   6   5   3   4   4   8  14 104   5   4   4   4   5   6   4   8  31   4
## [5365]   8   4   4   4   4   3   4   4   4   4   8   6 401   4   4   4   4 235
## [5383]   4   4   4   4   4   4   8   3   4   4 328   4   3   4   4   4   9   4
## [5401]   8   3   4   4   5   4   4   5   5   4   4   4   4   4   4   4   4   3
## [5419]   8  31   4   6   6  31   4   4   4   4   4   6   5   3   4   4   4   3
## [5437]  31   3   4   4   4   4  31   8   4   4   4   4   4   5   4   4   4  95
## [5455]  31   4 556   3   4  24   4   9   8   5   4   4   4   4   6  31 235   6
## [5473]   4   4 397   4   3   3   4   6   4   4   4   4   4   4  24   8  98   8
## [5491]   3   4   4   4   4   4   9   4   4   4   4   4   4   4  31   4   4  40
## [5509]   8   5   4 392   3   4 235   4   6   8   4   8   4   4   4   8   8   3
## [5527]   3  59   4   3   8   8  31 400   4 342   3   4   4   4   5   3   4   4
## [5545]   4   1   8   4  31   4   4   4   4   3   4   4   4   4   3   4   6   3
## [5563]   4   4   3   4   4   5   8   3   4   4   4   4   4   4   4   4   4  41
## [5581]   9   6   4   6   5  31   4   4   4   4 553   4   5   4   4   5   4   4
## [5599]   4   4   3   4   4   4   3   4   4   4   4   4   6   4   4 466   6   4
## [5617]   9   4   5   3   4   4   4   4   4   8   4   4  31   5   6   4   4   8
## [5635]   4   4   8   4   4   3   4   4  31   8   4   4   4 168   8   4   7  31
## [5653]   4   4   8   4   4   6   4   4   4   4   3   4   4   4   9   3   4   4
## [5671]  32   5   8   4   3   4   3   6   4  21   4   3   4   3   4   4   6  22
## [5689] 263   4   3   4 554   4   8   4  47  31   8  31   4   4 557   4   3   4
## [5707] 557   4   4   4   4  19   4   5  85   4   3   4  67   4   8  31   4   4
## [5725]  22   8   5   4  31   4   4   5   4   8   9   4   4   4   4 129   4   4
## [5743]   4 409   4   4   3   4   3   8   4   4   6   4   4  61   8   6   6  49
## [5761]   4   4   4   4   4  31   4  67  13   4   6   4   4   4   4   6   4   9
## [5779]   4   4 261   4  31   6  31   4   4   5   4   4   4   4   4 595   1   4
## [5797] 587   4   4   8   4   6   4   8   4   6   4   4   3   5   3  31   6   9
## [5815]   5   3  31   3   4   3   4   4   9   4  31   3   8   4   4   3   3   8
## [5833]   3  31   4   4   4   6   4   4  19   6   4 527   4   4   4   4   4   3
## [5851]   3  31   8  98   4 248   4   4   4 236   4   8   4   4   4   6 133   4
## [5869]   4   4  31   3   3   4  47   4   6 328   4   4  24   4   4  32   4   4
## [5887]  21   4   3   4   4   5   4   3   4   8   4   4   5   4   4   4   3   8
## [5905]   3   4   5   8   5 105   4   1   4   4   8  31   4   4   6   5 454  47
## [5923]  49  31   4   8   9   4   8   4   4   4   4   4   4   3   4   9   4   4
## [5941]   5   4  41   5   4   4  10   8   3   4   3   4   5   3  46   4   4   4
## [5959]   4   4   3   8   4   4   4   4   4   4   3   6   4   4   3   4   3 105
## [5977]   4   4   4   4  40   4   4   8   4   8   4   9  31   4   4   4   5   4
## [5995]  31   4   4  27   4   4  31  31   8  31   8   4   4   4   4   4   5   8
## [6013]  31   4   4   9   4   4  42   4   8  31   4   4   5   4   8   4   3   9
## [6031]   4  31   4   4   4   4   3   4   4   3   8   6   4   4   9  54   4   4
## [6049]   4  21   4   8   4   4   6   4   4   4   4   4   4   4   4   3   4   9
## [6067]   8   4   4   4   3   8   4 343   4   8   4   4   4   6   4   4   4   4
## [6085]   4  31   9   4   4   8   9   6   4   4  31   4   4   4 129   6   4 145
## [6103]   5  31 258  31   4  24 189   4   5  31   5   4   6  31   4  11   4   4
## [6121]   4   4   4   4   4   4   4   4   4 204  31   3   3   4   4   4   4   3
## [6139]   5   4   8   3   3   5   4  24   4   4   4   8   4   4   4   4   5   3
## [6157]   4   4   4   4   3   4 454   4   4   4   4  24   4   9   4   4   4  31
## [6175]   4   4   5   4   9   4   4   4   5   6   8  24   4   4   4   4   4   8
## [6193]   3   6   3   3   6   3   8  72   4   4   4   4   4  31   3   4   4   4
## [6211]   4   4   6   6   3   4   4   4   9   3   3   4   4  83  27   9   4   4
## [6229]   4   4   4   4   4   3   4   4   4   6   6   5   4   4   6   4   3   3
## [6247]   4   4   5   8   4   3   4   9   9  31   9   4   4   4   4   6   4   4
## [6265]   4   4  41   4   4  31   4   3   4   4   4   4   4  28   4   4   9   9
## [6283]   8   4   4   3 434   4   4   4  55   4   4   8   5 524   3   8   5   4
## [6301]   4   3   9   6   4   4   9   4   5  31   8   4  19   4   4  31   4   6
## [6319]   3   4  40   5   8   4   9   4   4   4   4   4   3   4   4 552   4   3
## [6337]   6   4   4   4  67 464   4   4   4   3   4   5   4  87   4   4   6   3
## [6355]   4   8   4   4   6 554  31   6   4   8   5   4   4   9   5   4  31   4
## [6373]   8  31   4   6 236   4   9   4   4   4   4   4   4   8   8 189   5   4
## [6391]  61   8   4   3   4   4   6   3   4   4   4   6   4   4   4   4   8   4
## [6409]   4 148 556   4   4 434   4   4   4   3   8   4   4   4   4   5   4   4
## [6427]   3   6   3   8  31   4   4   8   4   3  41

Find a visualization algorithm that fits

And we visualize it. Notice that we set layout = “layout_nicely”? This is how we specify which visualization algorithm to use. There is a whole bunch of them: see the listing. If you are curious about visual effects from different algorithms, try layout =“layout_in_circle” or layout =“layout_with_kk” or layout =“layout_with_sugiyama”

visIgraph(threecore,idToLabel = TRUE,layout = "layout_nicely") %>%
  visOptions(highlightNearest = TRUE, nodesIdSelection = TRUE)